It's on the Bear Family box set of Travis. According to the discography, Travis wrote it.

There are no lines missing after the second line above. The missing lines after line 5 are:

And when I see the lovelight shinin' in her eyes
I lighten up my private paradise
Then I say, 'Honey, do you love me true?'
And she says, 'Now, daddy, don't you know I do'
When my baby does her double talk to me

As you say, the rest is nonsensical variations.

--Stewie.