I wouldn't go ordering certificates willy (Willie - get it!!

) nilly - it could prove very expensive and still not produce the goods!
I've looked on FreeBMD and the only John Willie Taylor births I can find at the right time are in Lancashire. (2 in Oldham and 1 in Rochdale(who died same year) - oh and another in Northwich, Cheshire.)
I didn't know there was a Bradford in Lancs - I looked it up and , if I've got it right, it's bang in the middle of Greater Manchester and, of course, Oldham is also pretty much part of Manchester (although I'm sure people from Oldham would argue that one).
So, if you say that some websites give JW's birthplace on the 1901 census as Bradford, Lancs - perhaps that's right???
Family Search 1881 Census is still playing up - or is it just me? but if it ever rights itself, it might be worth looking for a Taylor family from Lancashire with William as Head of household.
These censuses can send you off in all sorts of wrong directions - I spent months once looking for my great grandmother's birth (and wasting money on birth certs) in Wales because an enumerator or a transcriber had read Great Marlow (GM) in Bucks as Glamorgan (GLAM) in Wales!!
Jill