Sorry. I should have included the rest of the words I remember. Please help with the gaps and the source information! It sort of sounds Victorian, doesn't it, but I don't have any more information.

See these banner gaily streaming
I'm a soldier now, Jeanette,
I'm a soldier now, Jeanette,
And of battle I am dreaming
And the honors I shall get...

(The rest I have mixed up in my mind...)

With a saber by my side
And a fiery steed to ride
Off to battle I will go
(da da da da da da da?????)
Yes, it flatters me, Jeanette,
'Tis a life that well will suit.
It's the life of a recruit, yes!
It's the life of a recruit.

(There's a chant that runs throughout for a chorus of "left, right, left, right...")