When the tour started with an extended run in Los Angeles, the set included the elevators that were part of the set on Broadway, but at some point during the tour the set was simplified and the elevators were eliminated.
The production started as a first-class national tour. In January 1971 it seems to have started functioning as a bus-and-truck tour, playing mostly one-night stands and split weeks, although it closed with a three-week run at the National in Washington, D.C.
At the final matinee in Washington, the production was filmed for Theatre on Film and Tape (TOFT) archive of New York's Library for the Performing Arts. TOFT was founded in 1970. Company seems to have been the first Broadway musical filmed for the archive (although, of course, it was the touring production that was filmed). Prior to filming the Company tour, TOFT seems to have filmed only Off-Broadway and Off-Off-Broadway shows.