Old song - posssibly Irish Folk Song?

[Lknowsbest]

It is called something like Little Thin Man or Wee Skinny Man or Old Thin Man or The Wee Man..
Does anyone know what song this is - 2 people sing it (one sings one bit the other sings the other.) cant remember ANY lyrics but its something along these lines

P1 - and he had an old chest
P2 - an old chest
P1 - lying on his breast
P2 - whats that
P1 - what you doing what ya say
p2 - say it again
P1 - I'll say it again

Anyway its quite fast and repeats over and over and could really go on forever!

Maybe an Irish Folk song or soething? I know its a long shot but if anyone knows what i mean!