A copy of a charter from Archbishop Theobald of Bec, recorded in a cartulary, records most of Basset's manors. While most of the estates seem to have been held by Basset as a sub-tenant, four of the estates appear to have been held as a tenant-in-chief. These estates were not very valuable, and Basset can not be considered a baron, although his son Richard managed through marriage to become a member of the barons. He held lands in nine counties, perhaps centred in Berkshire. Basset was the founding member of a dynasty of royal servants who continued to serve the kings of England until around 1250. The medieval writer and chronicler Orderic Vitalis described Basset as one of the new men of King Henry, who "raised them, so to say, from the dust". Among Basset's four sons were Richard Basset, and Nicholas. Another son was Ralph who became a cleric. A fourth son was Turstin, who held land around Wallingford. Basset also had daughters, but their names are not known. Only the first initial of his wife's name is known, which was A. Richard received the Norman estates, but not most of the English lands, perhaps because he married an heiress.