Edmund married Joyce Tiptoft, daughter of John Tiptoft, 1st Baron Tiptoft by Joyce de Cherleton (daughter of Edward Charleton, 5th Baron Cherleton), ultimately coheir to the baronies of Cherleton and Tiptoft. She transmitted to the Dudley family the quarterings of Tiptoft, Cherleton, Holland, and that of Edmund of Woodstock, youngest son of King Edward I of England. Edmund fought alongside his father during the conflict today known as the wars of the roses and was present at the battles of St Albans, Blore Heath and Towton.
Edmund's exact date of death is not known, but was living on 6 July 1483 but died before father (who died 30 September 1487).
One of his descendants was Mayflower passenger Richard More.