I came upon this thread today; although it's old, I hope I can tap into what ipshalapata has found. Perhaps answer some of my own questions about the Henry Clark of Carlisle and his family.
First, I'm not positive my Henry and yours are the same, but he's the only one I could find at the appropriate time and place. My connection to Henry Clark is through his parents, Patrick and Jane Clark, both born c. 1811 in Ireland, immigrated to Wigton area about 1840. 1841 census shows Patrick and Jane Clark with children Anne and Eleanor (both born Ireland), Henry, born 1841. 1851 shows the addition of Elizabeth and Margaret, born 1846 and 1848. My ancestor is Elizabeth Clark, who went into service and came to Blackburn, Lancashire before 1871. It looks like several of her sisters also went into service here and there, as did Henry for a time. I found that same 1871 census in Carlisle showing Henry and Sarah and their three children, and then there was nothing (as you have found).
I'd be very interested to learn whether your Henry seems to spring from the same parents as my Elizabeth (I know her parents' names from her death certificate in New York City).
If I'm completely off base with this Henry (YOUR Henry), and you can tell me why, I'd appreciate it. Otherwise . . ..
Many Thanks.
Sally