Mike - cheque's in the post!!!

Juliah,
Thanks for the clarification. I misunderstood and thought you had actually found some census transcriptions which gave JW's birthplace as Bradford, Lancs. So, it looks as if you are looking for one born in Bradford, Yorks and, on the face of it, there ain't any John Willie Taylors born in Yorkshire at the right time. So it looks as if he was given his full name when registered.
I agree it's a possibility that he was born in Lancs or Cheshire and moved to Bradford as an infant so remembers that as his birthplace.
I still think it's a priority to try and find him on the 1891 and 1881 censuses - particularly the 1881 when he would have only been about 10 years old and more likely to be living at home.
It may be a case of finding all the likely candidates and eliminating them along the way e.g. you need to find a couple where the wife is a widow by 1901 census (as William Taylor died before JW's marriage in 1899).
Unfortunately, Family search census is still not working properly (on my PC anyway!) so I'll take a look at Find Your Past.
By the way, I know I said I like a challenge but I'm not flying solo here, the others are still helping (I hope).
Jill