Elijah Crane (August 29, 1754-February 21, 1834) was a Canton, Massachusetts farmer, and inn keeper, who served as the first Town Clerk, and on the first Board of Selectmen of Canton, Massachusetts. Crane was also the first representative to the Massachusetts House of Representatives from Canton, and the sheriff of Norfolk County, Massachusetts from May 16, 1810 to 1811 and from June 20, 1812 to 1834. He was involved with the creation of the Dedham Bank.