It seems there is more to the Bee poem. You can find the details, and more wonderful drawings, here. The site says that the poem was written in 1856, when Bee was a captain of the 10th Infantry – that is to say, not by a young Bee in Mexico. Here is the full text (I particularly like the slam to the dragoons):
Our Army is a Motley Crew
In dress and armour, duties too,
And each and all I love to see –
But most I love the Infantry.
In tented field, in Ladies bower
Alike they shine – all feel their power.
Though other corps are dear to me
Yet most I prize the Infantry.
The engineer, with science crowned,
For action, traces out the ground.
Artillery at distance play,
Dragoons sometimes do clear the way.
The sharp advance, the pistol shot,
The quick retreat, at rapid trot!
The foe advances, light and free.
Who meets him then? The Infantry!
And so that glorious host move on,
Their bayonets glistening in the sun.
Onward they hold their steadfast way
Tho’ deathshots round them madly play
Their comrades slain (?), their banners torn
These noble hearts, still proudly form.
And hark! A shout – ’tis Victory!
Who would not love the Infantry?