So, I googled the various answers for our songs. I found an overwhelming amount of hits for Alice the Camel and even found this image under google images. Approximately 226,000 results came up in favor of Alice. Sally the Camel came in at 108,000 because of an episode of Barney where they sang that version of the song. Even with the purple dinosaur's help--Alice wins! How many humps does she have?
As for "Going on a ___ Hunt," the votes are in and I find results for both bear and lion. The number of resulsts you get varies on the variations of titles. (ex. I'm going on a lion hunt, Going on, Goin on, etc.) However, the bear song is different in many ways and is a little bit fruitier. Yes, fruity-er. More fruity and cheesy. They probably both came from the same source originally.
One last detail--I found that the lion version was published in the Girl Guides of Canada songbook back in the '90s, so that version must win.
