A version of this was recorded by the Carolina Tar Heels (vocal by Tom Ashley) in 1928. Meade et alia cite its origins as 'Al Haynes w&m 1887' - printed in Wehman's 'Collection of Songs #25 Jan 1890'. The Tar Heels recording has the substance of the first 3 stanzas above, but in different words - the final stanza is absent. The Tar Heels chorus is:

You're a little too small, young man
Won't answer at all, young man
You're young yet you know perhaps you may grow
At present you're a little too small

--Stewie.