Keats-Rohan states, [1]
Colsuain Lincolniensis
Englishman. Domesday tenant-in-chief in Lincolnshire. His substantial holdings in 1086 were pricipally a grant to him by William I, of whom he may have been an official, perhaps town-reeve of Lincoln (Williams, The English, 107). A handful of his holdings were attributed to the earlier possession of his nephew Cola. He was succeeded by 1101 by his son Picot (cf. RRAN ii, 531), who in turn was succeeded early in Henr I's reign by his daughter Muriel, wife of Robert de la Haye. Muriel is often stated to be Colswein's daughter, but her son Richard called Picot son of Colswein his grandfather in a charter of a register of Spalding Priory, BL Add. 35296, fol, 413. Robert de la Haye occurs with his wife Muriel in 1126 in Gallia Christiana xi, Inst. 234.
[1] K. S. B. Keats-Rohan, Domesday People, A Prosopography of persons occurring in English documents, 1066-1166 (Boydell & Brewer Ltd, 1999), 175, [GoogleBooks].