From Wikipedia
Elsie is a village in Clinton County in the U.S. state of Michigan. The population was 966 at the 2010 census. The village consists of two noncontiguous portions within Duplain Township in the northeast portion of Clinton County—the smaller of which contains the village's Riverside Cemetery.
Elsie was founded in 1857 and platted the same year. It was incorporated in 1885. Elsie is named for Miss Elsie Tillotson, the daughter of an early settler.
From Michigan Place Names
Clinton County: Job Durkee Sickles, from Palmyra, N.Y., founded the village and recorded its plat in 1857. It was named for the first child born in it, the daughter of Frank Tillotson, who became the first postmaster on May 14, 1857. Incorporated as a village in 1885 [Neva Keys; Dabolil.]