There are a number of shorts called THE SNOW MAN and/or THE SNOWMAN that have been done over the years.  (Even George Melies gave us one.)  The one posted there on YouTube shows a photo of Ted Eshbaugh at the end, but the short that was used appears to be the 1940 Paul Terry one, based on the IMDB info for that particular title.  Curiously, there's no mention of a Snow Man title under Eshbaugh's IMDB listing.  (Sadly, his entry is pretty skimpy.)  Need to pull my copy of Leonard Maltin's animation book Of Mice and Magic and see what he says about him, as online info seems contradictory.  IMDB says Eshbaugh was born in Des Moines, Iowa, but Wikipedia lists him as Canadian.