Hi Maureen
The Wright family had their own joinery/building business as far as I know so its quite possible they may have gone to live with the in laws who I have living at:- Caroline Terrace Barton Upon Irwell on the 1881 Census.
Maureen
I see from Lancashire BMDs that Carrie Jane's birth was registered in the Chorlton-on-Medlock district, and possibly also Thomas' birth in 1889 (although there is more than one Thomas Wright registered at that time). So I would be looking for an address in that area.
Found these addreses in the 1886 alphabetical directory:
John Wright, joiner, 168 Stockport Road, Chorlton on Medlock, res. 268 Upper Brook St
John Wright, joiner, 2 Kingsdown St, Chorlton on Medlock
John Wright, joiner, Coleridge St, Grecian St Lower Broughton (the in-laws?)
I've assumed that Carrie's father is John from loking at the public trees on Ancestry - don't know if that's a safe assumption or not!
I think if they moved about a lot though, your safest bet would be to send for the birth cert - all the certs I've had from that time period have had an address.

Barbara