My great great grandfather was frederick pearce who was a son of richard and ann pearce and so a brother of william he was born in chatham in kent, england so william was most probably born there too. I knew i had some family connection to the pearce lemonade business in Innerleithan but wasn't sure of the link till i read this thread i hope this has been some help.
To correct my earlier post William(abt 1839) was born in East Peckham, Kent as were his parents before him and also his siblings Ann(1831), Richard(1832) and Mary(1835), sister Elizabeth was born in Walthamstow Essex(1841) brother Albert in Raithby Lincolnshire(1844) and brother Frederick(my G/G Grandfather) in Tonbridge Kent(1847). They liked to move about a bit did the Pearce's!