There are several copies of “Martha Schlamme in Concert for sale on eBay. Some have photos of the back of the album cover, which has interesting notes:

Three Men in Caravan is a Russian song Miss Schlamme learned from her friend Netanya Davrath. As the cavalry rides through a small village, the local beauty waves. The Captain thinks she's entranced by his dashing uniform. The Lieutenant is certain that he's the one who caught her eye. And the Cossack thinks it's he who's irresistible. But actually, like young girls everywhere, she waves at all the men.

Now, gee, if the album notes would only give the Russian name of the song. This is a start, though.