Muschamp came from a cadet branch of a family that had held manorial property in Surrey since at least 1536. His grandfather acquired Rowbarnes by marriage to the heiress of the Agmondesham family in 1598.
Muschamp played no known part in local government until 1638, four years before he succeeded to his patrimony. While he was appointed to both royalist and parliamentarian commissions at the outbreak of the Civil War, he may have preferred to remain neutral, for his name disappears from the records after August 1643. Muschamp died in November 1660, and was buried at East Horsley. No will or administration grant has been found. He was the only member of his family to sit at Westminster, though his grandson Denny Muschamp was twice elected to the Irish Parliament.
