Hmmm... I think the one I know must be a variant of some sort, as it hasn't exactly the same tune, either. Thge old memory banks finally relented, and gave me this in the middle of the night -
There were RC's, C of E's
The medics and the Infantry
The Sargeant, the Brigadier
And Mademoiselle from Armentiers
Inky, pinky, parlez-vous
There were Burmese, Singhalese
Chinese and Japanese,
Norfolk's and the Grenadiers
And the Lancashire Fusiliers
Inky, pinky, parlez-vous
And I'm sure now that this is the one from tyhe other thread about RC & C of E, but I don't know how to link them up...