Actually, two questions were asked:
"I saw a picture of a '35 in the Gallery, and it was called a Suburban Carryall. Were the first called Suburban Carryall, and if so, when did the name become just Suburban?"At least that
Cadillac Imperial Suburban carried 7 passengers. It looks like that Imperial Suburban had more space behind the third row of seats than was the case in the Standard Cadillac 7 passenger Sedan.