He was a farmer in the northeast part of Garrard County; on March 22, 1787, George Adams deeded 50 acres on Paint Lick Creek in Madison County to Timothy Logan.
Logan was married several times, first to Sarah Boone, daughter of Squire Boone, the brother of the legendary frontiersman Daniel Boone. Their eldest daughter, Elizabeth Logan, was born in Madison County, Kentucky in 1759, and she married James Alexander in March 1804. Timothy Logan died at the age of 96.
Logan’s granddaughter, Elizabeth Serilda Alexander and husband Neptune Lynch settled in Wild Plains, Montana, in 1870. The family established many of the town’s permanent infrastructure, such as the first Plains School, Post Office and sawmill. Today, their descendants are living in Montana and are members of Daughters of the American Revolution.