As far as I remember, and I was but a sprog, the few words I can bring to mind are (without breaks, sorry!)
Mother may I go out dancing?/Yes my darling daughter/Mother may I try romancing?/Yes my darling daughter.
Mother if he tries to kiss me, and..../Mother must I keep on dancing?/Yes my darling daughter.
Then there was something along the lines of: Mother if I start to shiver, and my legs they start to quiver/Mother must I...?/Yes my darling daughter.
Sorry it's disjointed, but I've had to drag around in my very muddled brain. I have an Andrews Sisters album, but not with that track. It was definitely on the radio in the late 50s and early 60s, but I have no idea who sang it. It always used to be the same recording.
Andrea