He served as justice of the peace (the highest constitutional officer) of the Republic of Indian Stream, located in what is now Pittsburg, New Hampshire.
After his marriage in 1827, he and his wife, Alletta, moved to what would become the Republic of Indian Stream, where he operated a store.
In 1846, Parker served in the Wisconsin Territorial House of Representatives,[2] first as a Democrat and then as a member of the Free Soil Party.
In Muskego, Wisconsin, the cemetery where Luther Parker is buried is named in his honor.
[5] In Pittsburg, New Hampshire, a marker on the southwestern shore of First Connecticut Lake commemorates Parker's contributions to the Republic of Indian Stream,[6] while a metal stele featuring a silhouette of Parker was erected in the town park in 2016.