thanks for all your continued replies!
here's some more conclusions and speculations based on your input:
- the name of the new dynasty may be hyphenated, or it may not be. in any case, my idea from earlier was that it would be officially called the House of Dudley-Tudor (or maybe Tudor-Dudley) but the tudors' precedence could result in the house being commonly called just "Tudor"
- while i do want this to focus more on Liz1, im willing to explore possibilities with other tudors. eddie and jane grey sounds the most plausible to me; extending eddie's lifespan a bit long doesnt sound too unreasonable or implausible. not too sure what to make of the brandon-grey comments here (ive probably just misunderstood the writing)
- ive thought about it, and perhaps an interesting way for Liz1 to go about her status as the Virgin Queen would be to keep her motherhood secret: since she knows how important her image is to the people, she goes the rest of her life saying that she's still the Virgin Queen and is initially claimed to have died childless. meanwhile, her son by dudley is raised in that household, though in the knowledge that he IS heir apparent, and documentation from Liz1 herself confirms his eligibility. basically, she puts the needs of the people first and never formally marries, though everyone acknowledges dudley as the father and their son becomes the king (im not sure how plausible or realistic this is, though)
Well Oshron, here is my take on how exciting a potential TL could be if you decided to against the parliamentary hurdles of having Elizabeth getting married, and having issue yet still calling it a Tudor dynasty

lol
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House of Tudor: Edward VI TL Lives
1509-1547: King Henry VIII (House of Tudor)
1547-1583: King Edward VI (House of Tudor)*
1583-1598: King Edmund I (House of Tudor)*
1598-1603: King Arthur I (House of Tudor)*
1603-1629: King Arthur II (House of Tudor)*
1629-1649: Queen Catherine I (House of Tudor-
Oldenburg)*
1649-????: King Christian I (House of Oldenburg)**
Notes.
1. Edward VI, survives his bout with Tuberculosis and goes onto continue the reformation despite his marriage to the Catholic Queen Elizabeth of Valois. The Tudor-Valois marriage proves to be a happy one despite the fact that only two children survive to adulthood; Edmund, Prince of Wales( b.1562) and a daughter, Catherine (b.1565)…Future Queen of France, wife of King Henri III
2. Edmund was born in 1562, two years after Queen Elizabeth the death of twin boys (Henry and Edward) who did not make it a sole year, in 1560. The Prince of Wales was 21 years of age, when he ascended to the throne, and was already married to the daughter of the protestant Queen of Navarre Jeanne III…Catherine de Bourbon who was three years Henry’s senior. Catherine’s staunch Calvinist faith, although clashed somewhat with Edmund’s desire to mitigate the decades long conflict between Protestants and Catholics in his kingdom. Their union did prove fruitful as Catherine; much like her mother produced five children, most of whose names were grounded in Edmund obsession with the history of the Tudor Line. Those names included; Arthur Tudor, Prince of Wales (b. 1579), Henry Tudor, (1581-1582), Princess Elizabeth Tudor (b. 1583), Jasper Tudor, Duke of York, (b. 1585), and Princess Jean Tudor (b.1587)
3. Arthur Tudor, named after the first son of Henry VII, ascended to the throne after the freak accident of death of his father at the age of 36, who was thrown from his horse during a fox hunt. Crowned in a splendid ceremony with overtures to the mythical Camelot of old, Arthur I, at the age of 19 was a vibrant young king. Due to the penitent of the Tudor’s for early dynastic marriages, Arthur married his royal bride in 1594, at the age of 15; his partner for most of his reign was a result Edmund’ strengthening of relations between the protestant Princes of Europe. His Queen would be daughter of the esteemed Prince of Orange, William the Silent…Countess Louise Juliana of Nassau. Yet most hope for the dynamic young King was cut short, when he was unexpectedly assassinated in London, by Catholic revolutionaries in 1603 at the young age 24. He was only survived by his Dutch Queen, and his two surviving children…Arthur Tudor, Prince of Wales (b. 1595), and Louise Tudor (b. 1602)
4. Although in the annals of English History, most reigns for Child-Kings don’t usually turn out well. This was not the case for King Arthur II, who under the consummate knowledge and leadership of his uncle…the Duke of York, Jasper Tudor, who ruled in Arthur’s stead as Lord Protector until Arthur reached his majority in 1613. Under much of his “reign” the Lord Protector sponsored much of the flowering of the arts and exploration that would become known as The Arthurian Era. Yet despite concerns that Arthur II was a less serious man than his forefathers(he’d much rather spend his times frolicking with him male favorites) The Duke of York respectfully stepped down to allow the rightful king to take his place on the throne. Despite his certain predispositions, Arthur followed the tradition of the Tudor Kings, and he married during the regency period to the feisty Elizabeth Charlotte of the Palatinate, daughter of the leader of the German Protestant Union, Fredrick IV of the Palatinate. Yet largely due to the King’s constant pursuit of pleasure, the marriage between Arthur and Elizabeth proved rather cold, producing a sole daughter in Princess Catherine Louise Jeanne Tudor in 1601.
5. Despite Arthur II being one of the most non-military minded Kings of the Tudor Dynasty, at the age of 34, Arthur egged on by Parliament decided to take advantage of the War of Succession raging in Scotland. Leading his own army in the highlands, King Arthur was stuck down by an unexpected arrow show to his neck killing him instantly. The death of King caused an immediate withdrawal from Scots’ War of Succession in order to figure out the own difficulties on procuring Arthur’s heir. After a lengthy debate, Parliament decided on the side of Princess Catherine who was to reign as Sovereign Queen, with all the powers of a King. This was much to the chagrin of a still-vibrant Duke of York, Jasper Tudor, who although was approaching 55 years of age, had a powerful claim in that he was the only surviving son of King Edmund I. Yet in still, the Princess was the sole issue of King Arthur II, and thusly was coroneted as Queen Catherine I of England and Ireland. However, unlike her father, Catherine proved to be a remarkably strong ruler, whose belief in a monarch holding absolute power had not truly been seen since the reigns of Henry VIII and Edward VI. Much to the concern of many of Englishmen, parliament in 1633 approved of a marriage with the third son of the powerful King Christian IV of Denmark, the 22 year old Prince Fredrick of Oldenburg, although eight years her junior…Fredrick proved to be an extremely capable co-monarch, whose belief in absolutism cemented a strong section of parliament who was against the foreign King. Despite her age, Queen Catherine produced three surviving children in quick succession; Christian Henry Edward Oldenburg, Prince of Wales, (b. 1634) Princess Louise Anna Sophia Oldenburg (b. 1635), and Princess Charlotte Catherine Jane Oldenburg (b. 1637). Queen Catherine would continue to wrestle away power from parliament, when by virtue of the death of his father, the Prince Consort ascended to the throne as King Fredrick III.
6. For a year, before her unexpected death at the age of 48 years of age, Queen Catherine groomed her son for the likely event that he was to rule not only as the first monarch of the Oldenburg dynasty in England, but also as King Christian I and V of England, Denmark, Norway and Ireland. Although the unbroken Henrician- Line of the Tudor Dynasty, which had reigned for nearly one hundred and sixty-five years and survive the reigns of seven distinct monarchs, had finally came to an end…A new emperor of the North has been born, with the blood of the Tudors coursing through his veins.