« Reply #3 on: Thursday 03 January 19 12:27 GMT (UK) »
The transcription on findmypast is only of the GRO index, same as freebmd. The actual certificate can only be obtained from the GRO. This will give the address of the birth, actual date of birth etc. There are threads on here to which replies have been made [some by current or retired registrars who obviously know their stuff] about when a father's name can be entered on the certificate - if the mother is not married then I understand the father has to be present for this to happen. Yours looks a difficult search

Seeking: RC baptism Philip Murray Feb ish 1814 ? nr Chatham Kent.
IRE: Kik DRAY[EA], PURCELL, WHITE: Mea LYNCH: Tip MURRAY, SHEEDY: Wem ALLEN, ENGLISHBY; Dub PENROSE: Lim DUNN[E], FRAWLEY, WILLIAMS.
87th Regiment RIF: MURRAY
ENG; Marylebone HAYTER, TROU[W]SDALE, WILLIAMS,DUNEVAN Con HAMPTON, TREMELLING Wry CLEGG, HOLLAND, HORSEFIELD Coventry McGINTY
CAN; Halifax & Pictou: HOLLAND, WHITE, WILLIAMSON