HI Audrey - I think this song goes back to the Parlour Songs, Edwardian era.

I don't know for sure but I have an idea I saw a film when James Cagney was all the rage, many many moons ago, I couldn't have been very old at the time. He could have sung this song

Goes something like this. Does it ring a bell with anyone? Joan

Her name was Mary, Mary, plain as any name can be
And with ........ named Marie

Last line.......Twas a grand old name.