Linegar was one of five children born in [St. John's, Dominion of Newfoundland|Newfoundland and Labrador|St. John's] to Michael Linegar and Eliza Cole. He marriedIda MayDuder at St. Patrick’s Church in April 1902. They had 10 children born between 1902-1918. Sometime after 1906, he became president of the Cooper's Union.