The use of multiple names was, similarly, attached to the radio version of the Hit Parade, which aired from 1935 until 1953. It, too, was officially titled Your Hit Parade, and was referred to, on the air, as such. Yet there were, as well, the variant usages.
A current auction on ebay, for example, is for a promotional item for the radio program--a matchbook cover (see left), featuring bandleader Mark Warnow; he led the orchestra on the Hit Parade radio show for a number of years. The matchbook cover refers to "Your Lucky Strike Hit Parade." (In 1949, when Warnow died, his role as orchestra leader on the show was taken over by his younger brother, Raymond Scott. Mr. Scott also joined the TV version of the show, when it began airing in 1950.)
Here is the link for the ebay auction: