It was only the Paddingtons whose catering vehicles were normally taken off at Wolverhampton.
In the 1950s the Buffet cars on the Bournemouth and Margate trains worked through to Birkenhead.
For example in 1957 the Bournemouth - Birkenhead had a 6-Buffet set BSK/FK/RKB/SO/SO/BSK throughout plus BCK/BSK/SK detached at Chester.
The set provided by the WR had in their terms Brake Compo/ Van Second/ Second from Chester to Bournemouth,
Van Second/ Second/ Open Second/ Cafeteria/ First/ Van Second throughout,
The southbound working also had Second, Brake Compo Birkenhead to Cardiff detached at Shrewsbury.
The train to the south east had 3 coaches from Chester to Hastings, 4 coaches including buffet from Birkenhead to Margate and 2 coaches from Birkenhead to Ramsgate.