If the Talbot is really old (say pre-1990 or so) the bottom bracket is likely to be French threaded (M35x1) and replacement bottom brackets are not all that common. Phil wood sells French threaded bottom brackets but they are very pricy. Velo Orange sells a French threaded bottom bracket that is a lot less costly. Shimano doesn't list any French threaded cartridge bottom brackets so they are out.
What type of crank is currently on the Talbot? If it's a square taper type the above bottom brackets will work. If it's a cottered crank, you will probably have to replace it.
Does the Schwinn have a "three piece" crank or an Ashtibula one piece? If it has a three piece crank it should be English threaded and Shimano's UN55 or UN26 will work but you will have to pick the correct spindle length.