Can't speak for the Ohio guys, but the Claudius H. Beach who worked in Marshall, Michigan originally came from East Bloomfield, New York.
From the book Michigan Gunsmiths by Dorr Wiltse & myself:
"Calhoun County Michigan. Gunsmith, State (Hawes' gazetteer gives his initials as C.S.) Producer of percussion sporting rifles, located on Main street in Marshall. Died August 26, 1888. The 1860 census shows Claudius H. Beach 45, Gunsmith, with his wife Mary, 44 and eldest child Ellen, 19, all born in New York, now living in the City of Marshall. Their two younger daughters Hannah (spelling uncertain) 15 and Sarah, 13, were both born in Michigan. The value of his real estate was $3000, personal estate $1000. A young Apprentice, William Plum, 21 of Pennsylvania lived in the same household. . . . Claudius Beach was born June 19, 1815 in East Bloomfield, Ontario County, New York. He later apprenticed to a gunsmith. Married Mary McKay October, 1830, and with her had three children. In 1840 they lived at 214 East Bloomfield, Ontario County, New York. In the 1880 census, Beach, now a widower, lived with a housekeeper Mary E. Dickey, 38, and her three sons Robert S., 19, Frank J., 16 and Charlie E., 12. They had a servant Carrie Waltz, 19, born in Michigan of German parents.
Beach was a gunsmith in the Marshall area as early as 1844. He is listed in the Michigan State Gazetteer and Business Directory of 1873."
