Origins of the surname
From 'The Surnames of Scotland' by Dr. G.F. Black
In 'Family Names and their Dates' (1913), page 237, Baring-Gould says it is from the Lisiere or verge of the Forset of Lyons, de Lisoriis in latin.
Hugh de Lysures witnessed a charter to Kelso Abbey in 1160.
David de Lysurs, dominus de Gourton, granted a petarie to Neubotle 1233-36.
Sir William de Lisures witnessed a charters in 1245, 1253 and 1260-65.
Henry and Pyeres (= Peter) de Lysours of Edinburghshire rendered homage in 1296.
William Lysurs witnessed the sale of a tenement in Gouyrton, 1317.
Modern examples include William Home Lizars, a mid-19th century Edinburgh engraver.