I saw that Solomon BOCKERY born 21 January 1789, baptised 9 March 1789 which certainly looks possible - it would fit with his trial of 10 December 1788, although he is unlikely to have been around at the birth or baptism. The image gives the address of Solomon and Ann BOCKERY as Peartree Court, (and I assume) in the Parish of St Leornard Shoreditch - which is within a mile or two of the crime site. Obviously may just be co-incidence.
I don't see any later mentions of that baby.
Interesting questions!
Judith