I'm thinking this for the line of kids for Queen Elizabeth II:
Elizabeth II of United Kingdom of Great Britain and Ireland (b.1820: d. 1892) m Henry William, King Consort and Duke of Gloucester and Edinburgh (b.1817: d. 1892)
Issue:
William V of the United Kingdom of Great Britain and Ireland (b. 1840)
Adelaide, Princess Royal (b.1841)
Frederick William, Duke of York and Albany (b. 1844)
Sophia (b. 1848)
Henry William, Duke of Clarence and St Andrews (b. 1855)
Like otl Edward VII, William V would have a brief tenure in the armed forces, never actually actively, serving. He would however unlike Edward, be a lot more studious and less philandering, working hard, and learning his duties. A decent politician, but slightly dour of humour.
His brother Frederick, would join the Army, at his father's insistence. And would rise to the rank of Field Marshal after a long and good career. He'd be the opposite to his brother, a bit of a womaniser, cheery, jovial and a natural born leader.
Henry William, would enter the navy and be a rise to be an Admiral of the Fleet, he'd spearhead reforms that would improve Britain's naval performance toward the end of the century.
Adelaide, Princess Royal would be like a combination of her mother and father, hard working, but also cheery and a bit of a flirt.
Princess Sophia, would be shy, fiercely so. But also very prideful.