Which Leysing de Barton are you referring to? I located two on Wikitree: Barton-419 is son of Barton-421.
I have him in my personal database. Information I obtained from British History Online states: "Two sons of Leysing, named Sweyn and Leysing, owed money in 1129 for an agreement between themselves and Stephen, Count of Mortain, as lord of the land between Ribble and Mersey; Lancs. Pipe R. 1. It is suggested that the younger Leysing may have been the grandfather of Edith de Barton, and it may be a confirmation of this that the Barton family were the successors in Cadishead of a certain Sweyn; Lancs. Inq. and Extents, i, 66. Lescelina daughter of Matthew son of Leysing, lord of Barton, made a grant in Swinton; ibid. (quoting Ellesmere D.); and Eda (Edith) daughter of Matthew, already married to Gilbert de Notton, was plaintiff in 1203; Cur. Reg. R. 26. The other sister, Maud, is probably the Maud de Barton who made a grant in Monton; Whalley Couch. (Chet. Soc.) iii, 894."
Darlene, Co-Leader, British Isles Royals and Aristocrats 742-1499 Project