Short answers, pulled from the story.
Edmund of Langley, the fourth surviving son of Edward III and Philippa of Hainault, received the title Earl of Cambridge in 1362. He became the first Duke of York in 1385, establishing a new cadet branch within the Plantagenet dynasty.
Richard claimed the throne directly in October 1460 after capturing King Henry at Northampton earlier that year. Victory proved short-lived when Richard and his son Edmund died at Wakefield on the 30th of December 1460.
Edward V and his brother Richard disappeared shortly after Richard assumed the role of Protector following their father's death in 1483. No definitive record confirms whether they were killed or who might have ordered their deaths.
Richard III met Henry Tudor at the Battle of Bosworth Field in 1485 where he died fighting. This engagement made him the last Plantagenet king and the final English monarch to die in battle.
Warwick was executed on the 28th of November 1499, marking the end of the legitimate male line. Both Houses of Plantagenet and York became extinct in direct descent after this date.