Part of the words for The Battle of New Orleans.
In 1814 we took a little trip, along with Colonel Jackson, down the mighty Misisip. We took a little Bacon, We took a little Beans and headed on down to New Orleans. ............
We fired one shot and there wasn't as many as there was before, We fired once more and they began arunnin, .... Gulf of Mexico

That is all that I can remember right now, The other song that I believe your are referring to is the Alamo Song, sung by a Mexican Soldier.

Please Santa Anna, I don't wanna go, Please Santa Anna, I don't wanna die. It was pretty popular in the early '60's That is all that I can recall right now.

Arnie Woo Woo Ginsburg used to play it a lot on the Night Train Show on WMEX Boston and I would stay up and listen.