Yes Henry married Maria Singleton on 21st May 1844. Their two children Francis Henry (bpt. 6/10/1844) and George (bpt. 4/10/1846). In 1851 census she is a housekeeper for Joshua Cox. She has 2 more children:- Haram bpt. 1/4/1849 and Seth bpt 6/4/1851. Henry is listed as their father in the baptismal record. They both later take on the surname Cox. On 6/1/1855 another child is baptised, Joshua Collins Eaton or Cox, again Henry is listed as the father. Charles William was baptised on 3/9/1859 and Edith Collins bpt. 15/3/1863, but now only Maria on the register. Joshua Cox died in 1865, but another baptism is registered on 20/12/1868, Tom, who later is called Whiffen. Maria marries David Legg Whiffen on 9/11/1872.
All very complicated but no mention of Henry in any census or death records. Was he really the father of the later children?