Neil
I had a quick look at the partial Civil Reg Index and the only William Owen born in Wem, Shropshire was this one:-
Name Year Quarter District County Volume Page
OWEN, William 1844 December Wem Shropshire 18 193
I realise that the year is a lot later than your c1832.
Have you found him in any of the census returns? These should give you a birthplace.
Jan
