Born in Chittenango, New York, Groesbeck was a schoolteacher and a lawyer, working in several states before settling in Laramie, Wyoming, in 1880.
[1] In September 1890, Groesbeck was elected as a Republican to the newly instituted Wyoming Supreme Court,[2][3] along with Willis Van Devanter and Asbury B.
[4] Groesbeck was defeated in his bid for reelection in 1896,[3] by opponent Samuel T. Corn, after which Groesbeck moved to Washington, D.C., to serve as general counsel to the Federal Land Department within the U.S. Department of the Interior, returning to his private practice in Laramie within a few years.
[5] As a Socialist, Groesbeck ran for governor of Wyoming, and for the Supreme Court, garnering 5% of the vote in the latter race.
[3] In 1922, Groesbeck again ran for a seat on the Wyoming Supreme Court, this time on a nonpartisan ticket, but was again defeated.