Nyah Nyah Nyah Nyah NYAH NYAH

Recalling that jump-rope rhyme last week, I got to thinking about the little musical phrase that went with the lines “Mother’s got a baby” and (oh joy, it’s a boy) “Daddy’s nearly crazy.”  I’d slip the tune in here if I knew how to post a musical clef, but I don’t.  You know the melody – it’s always TAUNTING – and here’s the best I can think of to show it.  The phrase goes –

           a
g  g           g  
        e            e.

This is not Ronald Reagan

Think
 “SUSIE’S got a BOY FRIEND!”
or
“I know what you’re THINK-ING!”
or
“I see Mary’s UNderPANTS!”

It's always something sarcastic or downright nasty.  What I want to know – does the phrase have a name, something I could look up on Google?  I’ll bet one could look up “Shave and a Hair Cut – Two Bits” for instance.  Something like that?  And I want to Google because I’m wondering how old it is  (Amy guesses it’s medieval).  And does it mean the same thing in Russia?  In Kenya?

Any help with this important problem will be appreciated.