Running Bear cannot be correct because they are neither of them names . I have just been trying a song called "Robert Bruce" but it does not seem to exist
How about posting the last question in the Quizzes and Puzzles section. There's always a lot of clever solvers about there ! and even if they're not all music fans they're excellent Googlers.
You think your'e " not clever enough " - I've only just noticed that I've been posting boy's names songs on your other thread - not realising it was related to this question D'Oh !