From Tommy's Tunes: A Comprehensive Collection of Soldiers' Songs, ... [by Frederick Thomas Nettleingham] (London: Erskine Macdonald Ltd., 1917), page 32:

OLD KING COLE. (A.S.C. VERSION.)

1. Old King Cole was a merry old soul
And a merry old soul was he.
He called for his pipe and called for his bowl
And he called for his privates three.
Now every private had a great thirst,
And a very great thirst had he.
“Beer! Beer!! Beer!!! Beer!!!!” said the privates.
“Very merry men are we,
For there's none so fair as can compare
With the boys of the A.S.C.”

2. Old King Cole was a merry old soul,
And a merry old soul was he.
He called for his pipe and he called for his bowl
And he called for his sergeants three.
Now every sergeant had a loud voice,
And a very loud voice had he.
“Move to the right in fours,” said the sergeants.
“Beer! Beer!! Beer!!! Beer!!!!” said the privates.
“Very merry men are we,
For there's none so fair as can compare
With the boys of the A.S.C.”

3. ... subalterns ... a big grouse ...
“We do all the work,” said the subalterns ...

4. ... captains ... a fine figure ...
“We want three months' leave,” said the captains ...

5. ... adjutants ... a pair of fine spurs ...
“Where the hell's my horse?” said the adjutants ...

6. ... majors ... a big swear ...
“Blankety, blankety, blank,” said the majors ...

7. ... colonels ... a sore head ...
“What's the next word of command?” said the colonels ...

8. ... generals ... two red tabs ...
“What's the plan of campaign?” said the generals ...