The Linton Name

From "The Surnames of Ireland" by MacLysaght (6th edition)

page 196

Linton - An English toponymic used sometimes as an abbreviation of MacClinton. See Glendon.

page 129

Glendon, Glindon - These and the intermediate form MacLindon, as well as Lindon, are abbreviated forms of MacAlinden. Linton is also on record as a synonym in Cos. Down and Armagh. Glendon and Glindon, however, were quite numerous in Cos. Tipperary and Kilkenny in the 17th century and these are thought to be of English origin. I have not yet sufficient evidence to make a definite statement as to that.
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From the "Surnames of Scotland" by George F. Black

page 430

LINTON. Of local origin from one or other of the following places: (1) Linton, now West Linton, a village and parish of Peeblesshire, (2) Linton, a parish of Roxburghshire, (3) East Linton, a small burgh in the parish of Prestonkirk, East Lothian. Gamel de Lintun witnessed a charter by Ernaldus, bishop of St. Andrews, c. 1160-62 (RPSA., p. 128) and Magister Robert de Linton was vicar of Kylelan (Killilan), a. 1214 (Levenax, p. 14; RMP., p. 209).Philip de Lynton, constable of Berewyc, witnessed a Coldingham charter of 1285 (Raine, 262), and in 1296 rendered homage (Baine, II, p. 213). Two Adam de Lyntons of Edinburghshire also rendered homage in the same year (ibid., p. 201). Thomas Lynton was provost of Aberdeen, 1348 - 49, William de Lyntoun was tenant of the fulling-mill of Scralyne, 1376 (RHM., I, p. lxvii), James de Lintoune was Bailie of Edinburgh, 1411 (Cambus., 94), and John Linton is recorded in Balgreddan, 1677 (Kirkudbright). Lyntoune 1599.
I hope this information can be useful to any Linton's present here.