Hi Fred,
Been searching for birth records in Genoa 1815.  The Archives jump a few years and 1815 is not there.   Had a look at "Familysearch".  Nothing, but they say old church records are hard to find and very few are online.  Had a look at churches in the districts of the old town and Molo di Genova is not shown.
Just curiosity:  do you know when he came to the UK, when he was married?  What do earlier/later UK census show as place of birth.
Steve