I'm pretty sure it's generic. Too modern-sounding to be historic. And somehow 'Terry Wadsworth' (composer) just doesn't sound like somebody from a bygone century.
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Lyrics as I remember them, with minor corrections. Thanks, Jim.

Goodbye, Suzanne. Don't cry Suzanne, though I'm goin' away.
Yesterday was Sunday. Monday is the day.
I hear the bugle blowin', callin' ev'ry man.
I'll be home by early spring. Don't cry, Suzanne.

1. You cannot come along, my love, to hear the cannons roar.
Your eyes are too gentle for to see the shame of war.
Some will be a-dyin' before the battle's through.
Some will be a-cryin', as I will cry for you.

2. My love for you is stronger than the cannon or the drum.
My love for you is longer than the rollin' of the sun.
When brooks are overflowin' I'll be hitchin' up the plow.
I'll be back in time for sowin', but I must leave you now.

Repeat chorus, more softly.

I've made a MIDI of this, if anybody's interested. I expect it to be nice on the piano.
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I can almost hear the gentle, yet accurate voice of the man who sang this on the record. You could understand every word, yet he didn't sound finicky. He knew what he was doing.