House of Tudor did not think of them as ‘Tudors’, or of themselves as ‘Tudor people’". Princes and Princesses would have been known as "of England". The medieval practice of colloquially calling princes after their place birth (e.g. Henry of Bolingbroke for Henry IV or Henry of Monmouth for Henry V) was not followed. Henry VII was likely known as "Henry of Richmond" before his taking of the throne. The Tudors' claim to the throne was the strongest one at the end of the Wars of the Roses, as it combined the Lancastrian claim in their descent from the Beauforts and the Royal
House of Tudor because she felt guilty about what happened to his mother, her cousin. Whether this is true is unknown for certain, for Elizabeth did her best to never show emotion nor give in to claims. Elizabeth was strong and hard-headed and kept her primary goal in sight: providing the best for her people and proving those wrong who doubted her while maintaining a straight composure. The House of Tudor survives through the female line, first with the House of Stuart, which occupied the English throne for most of the following century, and then the House of Hanover, via James' granddaughter Sophia.