The lyrics you cite are from a song called "The Old Man's Lament". You can find them easily with Google. Buffy recorded another song, "Babe in Arms" though I didn't find any lyrics when I googled it. The few lyrics I remember are
"Here I sit, with a babe in arms, and another one here within,
And where's my man, I don't know.
He's drinking, carousing and (something) a life on sin"
- Phil