Thomas came from Uttoxeter in Staffordshire and had at least three siblings, William, John and Mary.
Burke's Landed Gentry states, "John Blagrave, of Uttoxeter, County Stafford, was father, with a son Richard, who was father of Thomas Blagrave, Master of the Queen's Revels, who rf.
18 June 1590, leaving by his wife, Joane, daughter of William Bellame, a daughter Mary, married to William Lodge, son and heir of Sir Thomas Lodge, of London, and a son and heir, John, who married Joane Bodenham, of Gloucester."
Acting as Master of the Revels from 1573 to 1579 he was assisted by John Drawater, a servant of the Earl of Oxford, with whom he had a court battle in the early 1590s.
He owned land at Great Bedwyn in Wiltshire, where he built the manor house.