Messed around w Ancestry.com
There were two William Bodenheimers that were gunsmiths, father and son.
Dad was born in Pennsylvania, lived in Lancaster, Fairfield County, Ohio at least through the 1870 census. His wife was Mary a., and his Occupation was shown as Wheelright
Son William, age 48 in the 1870 census, lived in the same household as his parents, occupation Gunsmith
In 1860 Dad was shown as a gunsmith, but one son John, age 40 then, was a Wheelwright.
Son William lived in his own household with a wife, Rachel, children George W, Mary C. and Frank S.
In 1850 both William Senior and son William were gunsmiths, John age 30 was a Wheelright, all living in the same household.
Found none of them in either the 1840 or the 1820 census.
However in 1830 a William Bodenheimer in Lancaster, Fairfield County