Help with another French ditty

My mom sang a song to myself (amongst many) and my daughters and she has since passed.

My youngest brought it up and we cannot remember it and it is making us crazy!

I will try for parts spelled as it would sound?

Rome rome bippity bone, ill jet em-ayy...... ( a vero?)

Which is repeated.

rone rone pappity pone, il jetem something

It's probably the ditty "Il était une bergère" ( www.youtube.com/watch?v=JbZz_oq7Igo )
at least, the lyrics you wrote reminds me of the begining of the lyrics
Il était une bergère,
Et ron et ron, petit patapon, [ reminds me of : e rone rone pappity pon ...]
Il était une bergère [ reminds me of: il ete ...]
Qui gardait ses mouton,
Ron ron, qui gardait ses moutons.