I haven't seen a photo of the second car yet but I can tell you that it was based on an Austin A30 and was fitted with a Rochdale body. Probably built c.1954/55.
The other interesting fact about the CSC is that it appears to have been repowered with a DKW 890cc engine and rebuilt c.1958 by Freek Dudok van Heel in Henk van Zalinge's workshop in Naarden.
The car was renamed the AMAL and was the subject of my puzzle MJW #708 - see photo below
There's also a photo of the CSC competing at a Yorkshire Sprint in 1953 with Tony Platt at the wheel.