The title is a play on the phrase 'ascent of the Matterhorn'.
The shrieking frog looks a bit like fellow cast mate Michigan J.Frog.
The Matterhorn is actually located in the Swiss-Italian Alps border region, though in this short, it is set in the French speaking area of Switzerland.
Pepe sings Tiptoe Through the Tulips, first published in 1929. It would gain new popularity a few years after this short, when entertainer Tiny Tin would perform it on the TV show Laugh In.