This page has tons of detailed info about old (1946 and on) car phones, including lots of photos: https://www.wb6nvh.com/Carphone.htm
Speaking of car phones, one of the best depictions of a car phone was in the 1958-1961 show "Peter Gunn", a cracking good film noir TV series. Gunn had a car phone in his very cool 1959 Plymouth Sport Fury Convertible (I so wish tailfins were still a thing...) There's a picture of his phone from the show [1] which seems to match the Western Electric model from the above link [2].
Anyway, watch the show if you can find it - the epitome of jazzy noirish cool.
[1] https://www.pinterest.com/pin/peter-gunns-mobile-car-phone--...