You had most of it. Here is what I hear:

LOUISE
(T. Waits/K.Brennan)

They say you're seeing someone
You're wearing his ring
They say you laughed when you heard my name
They say he takes you dancing, he holds you so near
They say he'll buy you any thing,
Well tell me, am I foolish, I don't believe these stories
Darlin' I'll be comin home soon,

Refrain:

Louise, Louise, if it's true,
Tell it, tell it, to me

Well I know you will not see me,
But I hear you have a daughter
I hear she has my eyes,
They say she calls him father,
And that he's proud of her,
And that he believes all of your lies
But for all your faithless beauty,
I'd give all my tomorrows
And if you're still thinking of me

Refrain:
Louise, Louise, if it's true,
Tell it, tell it, to me

Took a job in Tennessee to build a life for us
Give a kiss to win her heart
Take a kiss to break apart

Bridge

Repeat stanza 1

Repeat refrain (x3)

Source: Ramblin' Jack Elliott 'Friends of Mine' Hightone HCD8089.

Cheers, Stewie.