Words you never want to hear: “This record appears to be the soundtrack from a Canadian Christian TV show from the 1980s featuring puppets.” Specifically, 1984. And there seems to be no overt Christian messages on the album - the songs are mostly about being nice and understanding other people and working as a team and stuff like that. It is the work of Morningstar Ministries, though.
If you google “Whimblies” it’s going to default to “Wumblies,” which is a good indication how far down the pop culture spectrum these folks are. Other than the website of the creators of this show, who now appear to be missionaries, though not to a land of puppets, I can’t find any evidence of what in the world this was.