Thompson Henry Murch (March 28, 1838 – December 15, 1886) was a nineteenth-century politician, stonecutter, editor, publisher and merchant from Maine.

Murch learned the trade of stonecutting and engaged in that occupation for eighteen years, living in a rented house on Dix Island, the site of a major granite quarry.

Murch's election, along with fellow Greenback candidate George W. Ladd from nearby Bangor, greatly embarrassed the state and national Republican establishments, who'd come to consider Maine safe for the party.

A front-page New York Times article caricatured him as "an ignorant stone-cutter who was never heard of until a few months ago, a Communist, a demagogue of the lowest type".

[2] After his defeat in the 1882 election, Murch engaged in mercantile pursuits until his death in Danvers, Massachusetts on December 15, 1886.