Hi William - Let me share my Pearls with you; at any rate, those which appear to coincide with yours! I have:
Mary Ann Pearl, b. 1832, bp. 25 dec 1832, Brettenham. Her illegitimate child (parish register states 'mother unmarried') is Samuel Pearl, b. 1852, Brettenham. According to my source, Samuel married Rebecca Calvert, b. Dublin possibly, at Woolpit on 17 October 1874. I don't have a William as their child - I have Mabel Pearl, b. 26 Aug 1885 at Woolpit. So it looks as though Samuel and Rebecca had at least two children, William and Mabel. Mabel married Alfred Bryan (b. 1884) at Paddington Register Office, London, on 3 Apr 1907.
Is any of that lot of use? I'd be interested to hear your side of the puzzle!
Regards
Greensleeves