I got a copy of the cast recording to A Connecticut Yankee with Vivienne Segal and Vera-Ellen from the library. I haven't listened to it, but I will tomorrow. It also has four selections each from Higher and Higher, sung by Shirley Ross and By Jupiter, sung by Hildegarde. These last two are not, of course, cast recordings...just songs from these shows.
I have to get up very early in the morning, but I'm not in bed yet. "Oh, what's the matter with me?" (a Sound of Music reference.)