I suspect this could be your man:
Thomas Winlay born 1869 Sept Qtr Morpeth 10b 296 (Bedlington was in Morpeth RD at this date)
The Dove index on the GRO website shows this to have been an illegitimate birth as the mother's maiden name is blank. Interestingly, the subsequent births of Thomas's siblings Margaret, Robert, George and Joseph are recorded as 'Guy' with maiden name = Winlay/Winlow. I can't see a Guy/Winlay marriage though between these events.