All car manufacturers had multiple suppliers, still do. You can find out the most common but to find out what your particular car came with would require the window sticker from your car. The build sheet would only tell you the size and whether b/w, w/w, or rwl. But not the model or width of a w/w. Just like it would tell you if it came with a radio for instance, but not the brand or model of radio. Only am or am/fm.
Put whatever you like, there is no way to prove what it came with.
W/w and tread patterns were not standardized until the Radial tires of the seventies became O.E.
The tire manufacturers had to have a standard for interchange in case some one needed only 1 tire.
Radials were new science back then and there was a lot of mystery to them.
The DOT standard was called a tire "T.P.C." spec. and also had a number for it. Example " TPC Spec 189 "
This meant , tire performance characteristic and had to conform in tread pattern, dimension and w.w width.
Without looking at the brand molded on the sidewall, the tires looked identical. This allowed across the board interchange with no safety concerns if a particular brand was not available. As long as the TPC spec matched, it was a safe option.