Larkin is in Escambia Co., FL in the 1850 census, but I cannot find him or most of his family anytime thereafter, except for his son, William Greene Hall and his family in Copiah County Mississippi where he married Rebecca Jane (Francis) Simmons on 12 Jan 1867 and where he died in January 1911. Rebecca died there in Aug 1915.

In the 1850 Escambia Co., FL census the family is listed as:
Larkin Hall 40 M W Carpenter b. MS
Rebecca " 27 F W b. GA
William G. " 15 M W b. AL
Jno " 7 M W b. AL
Mary " 5 F W b. AL
James D. " 3 M W b. AL
Sarah " 2/12 F W b. FL