Only teasing, Eddie!
There are a lot of William PEAKE births, I have just discovered, but none that have the right middle initials. It is quite possible that he was registered with just the one name and the others were added later - some are just registered as "Male" (although often those are the ones that didn't survive, sadly).
I hope others will have a look for you - maybe someone has more resources at their disposal.
Do you still have rellies that you could ask about where William was born - have you found his death record (I will look for that now...)
Last resort is buying the cert, as I say
A
