Albert Jagiellon, the second son of Sigismund I and Bona Sforza, survives. I have only made it as far as 1631.
King Sigismund I 'the Old' of Poland-Lithuania (b. 1467, d. 1548) - married Barbara Zapolya (b.1495 , d. 1515), Bona Sforza, Duchess of Bari and Rossano (b. 1494, d. 1557)
1. Princess Hedwig (b. 1513, d. 1573) - second wife of Joachim II Hector, Elector of Brandenburg (b. 1505, d. 1571)
a. Elisabeth Magdelena (b. 1537, d. ) - married Francis Otto, Duke of Brunswick-Luneberg & Prince of Luneberg (b. 1530, d. 1559), no issue
b. Sigismund, Prince-Bishop of Magdeburg & Halberstadt (b. 1538, d. 1566)
c. Hedwig (b. 1540, d. 1602)- married Julius, Duke of Brunswick-Luneberg & Prince of Brunswick-Wolfenbuttel (b. 1528, d. 1589), with issue
d. Sophia (b. 1541, d. 1564) - second wife of William of Rosenberg (b. 1535, d. 1592), no issue
e. Joachim (b. 1543, d. 1544)
2. Princess Anna (b. 1515, d. 1520)
3. Princess Isabella (b. 1519, d. 1559) - married King John Zapolya of Hungary (b. 1487, d. 1540)
a. King John II Sigismund Zapolya (b. 1540, d. 1571), never married
4. King Sigismund II Augustus (b. 1520, d. 1572) - married Elisabeth of Austria (b. 1526, d. 1545), Barbara Radziwill (b. 1520, d. 1551), Catherine of Austria (b. 1533, d. 1572)
a. Miscarriage (b. & d. 1554)
5. Princess Sophia (b. 1522, d. 1575) - married Henry V, Duke of Brunswick-Luneberg & Prince of Brunswick-Wolfenbuttel (b. 1489, d. 1568), no issue
6. Princess Anna (b. 1523, d. 1596)
7. Catherine (b. 1526, d. 1583) - married King John III Vasa of Sweden (b. 1537, d. 1592)
a. Isabella (b. 1564, d. 1566)
b. King Sigismund of Sweden, Duke of Opole and Raciborz (deposed in 1599, b. 1566, d. 1632) - married Anne of Austria (b. 1573, d. 1598)
b1. Anne Marie (b. 1593, d. 1600)
b2. Catherine (b. & d. 1594)
b3. Wladyslaw, Duke of Opole and Raciborz (b. 1595, d. 1648) - married Princess Jadwiga of Poland-Lithuania (d. 1617)
* Sigismund Casimir (b. 1613, d. 1630)
* Isabella Catherine (b. & d. 1615)
* Stillborn daughter (b. & d. 1617)
b4. Catherine (b. 1596, d. 1597)
b5. Christopher (b. & d. 1598)
c. Anna (b. 1568, d. 1625)
8. King Albert II, Duke of Bari and Rossano (b. 1527, d. 1573) - married Anna d'Este (b. , d. )
a. King Sigismund III 'the Italian' (b. 1550, d. 1588) - married Maximiliana Maria of Bavaria (b. 1552, d. )
a1. Anna (b. 1570, d. 1572)
a2. Miscarriage (b. & d. 1572)
a3. Miscarriage (b. & d. 1574)
a4. Albert (b. 1576, d. 1582) - betrothed to Catherine Renata of Austria
a5. King Casimir V 'the Young' (b. 1578, d. 1595) - married Catherine Renata of Austria (b. 1576, d. 1599)
a5a. King Sigismund IV Charles (b. 1593, d. 1602) - betrothed to Constance of Austria
a5b. King Albert III 'the Simple (b. 1595, d. 1631, "persuaded" to abdicate, then starved to death) - married to Constance of Austria (b. 1588, d. 1631, died of a stroke)
a5b1. Sigismund (b. 1607, d. 1608)
a5b2. Brother Casimir (b. 1609, d 1672) - chose to become a monk to spite his mother.
a5b3. King Charles I Ferdinand (b. 1612, d. 1634) - married to Queen Cecilia Renata of Austria (b. 1611, d. 1644)
a5b3a. King Charles II Louis (b. 1628, d. 1656) – married to Queen Maria Leopoldine of Austria (b. 1632, d. 1649)
* King Charles III Casimir (b. 1649, d. 1663) – betrothed to Princess Cecilia of Poland-Lithuania (d. 1697)
a5b3b. King Sigismund V Albert (b. 1631, d. 1668) – Queen Eleanora Braganza of Mantua (b. 1630, d. 1686)
* Cecilia – b. 1652, d.1653
* Queen Cecilia ‘the Celibate’ – b. 1653, d. 1697
* Catherine (b. 1654, d. 1689) – first wife of Albert William, Elector Palatine, no issue.
* Charles Wladyslaw – b. 1657, d. 1658
a5b4. Francis Bartholomew, Bishop of Wroclaw and Plock (b. 1613, d. 1655)
a5b5. Wladyslaw, Bishop of Krakow (b. 1614, d. 1694)
a5b6. Anna Constance (b. & d. 1616)
a5b7. Anna Constance (b. 1619) - married to Philip William of Neuberg, Elector Palatine (b. 1615, d. 1690)
a5b7a. Albert William, Elector Palatine (b. 1645, d. 1695) - married Princess Catherine of Poland-Lithuania (d. 1689), married Violante Beatrice of Bavaria (b. 1673, d. 1731), had issue.
a5c. Jadwiga (b. 1598, d. 1617) - first wife of Wladyslaw, Duke of Opole and Raciborz (d. 1648)
b. Bona (b. 1551, d. 1596) - married to Archduke Ernest of Austria (b. 1553, d. 1595)
* Holy Roman Emperor Maximilian III (b. 1570, d. 16) - married to Vittoria of Bari and Rossano (b. 1576, d. 1638), had issue
* Charles (b. & d. 1572)
c. Alessandro Niccolo, Duke of Bari and Rossano (b. 1554, d. 1611) - married Isabella della Rovere (b. 1554, d. 1619)
* Vittoria (b. 1576, d. 1638) - married Holy Roman Emperor Maximilian III (b. 1570, d. 1629)
c2. Alberto II, Duke of Bari and Rossano (b. 1572, d. 1621) - married Eleanor of Austria (b. 1582, d. 1620)
* Maria Carolina, Duchess of Bari and Rossano (b. 1600, d. 16) - married Lorenzo de Medici (b. 1599, d. 1648), had issue
c3. Filippo, Prince of Rossano (b. 1581, d. 1605) - married Giulia d'Este (b. 1588, d. 1645)
* Cesare, Prince of Rossano (twin, b. 1605, d. 1621) - killed Alberto II in revenge for being spurned for Maria Carolina's hand, killed himself while trying to escape.
* Isabella (twin, b. 1605, d. 1656) - chose to become a nun
c4. Bonifacio, Knight of Malta (b. 1585, d. 1618)
d. Gian Galeazzo, Bishop of Bitonto (b. 1555 , d. 1588)
e. Filippo Renato (b. 1557, d. 1560)
f. Francis Bartholomew, Duke of Opole and Raciborz (b. 1559, d. 1573)
g. Ercole (b. 1562, d. 1567)