I just checked the 1870 census and found Hilliard Bell, listed as a gunsmith in Raleigh. He was 33 years old, born in NC. He owned real estate valued at $500; personal estate valued at $200. His wife Nancy, was 26, also born in NC. Their four sons, Charles, age 6; Rufus, age 4; Haywood, age 2; and Frank, age 9/12, were all born in NC.
I'm not sure he's your man, but he's the only one with the "H" initial I've found so far.