Hi
Unsure if any of this helps...
Source, Swan Hill Chapel Reg:
1 Apr 1789 William s. of Evan & Elizabeth Owen, Dog Lane, bap.
Source, IGI (extr):
12 Jun 1791 William s. of John Owen & Anne, St Mary, Shrews., bap.
Source, Family Search:
1815 William Owen and Martha Price, St Mary, Shrews., mar.
There is also a fairly well documented tree on Ancestry, re the family, though it doesn't include Williams' parents.
Regards
Geoff