This seems to be the oldest recording. It is sung by a 4 male voices in harmony, a cappella, at a faster tempo, and a different tune than the one Pete Seeger used. It was recorded on a 78-rpm record, Columbia 14307D, in 1927. It is also on "Vocal Quartets, Vol. 5: M/N/O/R" (Document Records, DOCD-5541), which you can hear on Spotify:


OH HOW HE LIED
As recorded by the Rust College Quartet

1. He sat in the window and smoked a cigar,
Smoked a cigar, smoked a cigar.
He sat in the window and smoked a cigar,
Smoked a cigar.

CHORUS (SAME MELODY):
He told her he loved her but, oh, how he lied!
Oh, how he lied! Oh, how he lied!
He told her he loved her but, oh, how he lied!
Oh, how he lied!

2. He sat in the window and picked a guitar, etc. CHORUS.

3. She fell for his music and oh, how she sighed, etc. CHORUS.

4. He wrote her a note but it was a joke, etc. CHORUS.

5. She baked him a cake but it was a fake, etc. CHORUS.

6. She was ... and ugly beside, etc. CHORUS.

7. She promised to marry but she up and died, etc. CHORUS.

8. He went to the funeral but just for a ride, etc. CHORUS.

9. She went up to heaven and flip-flop she flied, etc. CHORUS.

10. He went out a sh——, oh, how he fried!
Oh, how he fried! Oh, how he fried!
He went out a sh——, oh, how he fried!
Sh——, sh——, he fried.

[No chorus after verse 10.
Also note there is a word or phrase in verse 6 that I don't understand.
Also, I can't imagine what "sh——" means in verse 10.
It's possible they're singing "He went on a sh——" or something similar.]