Hi, Robin - I added crosslinks above to our previous thread (click) on the song.

As you discovered, BMI has three entries:

• Hedy West, publisher Unichappel Music
  
• Nancy Ames & Richard Scianni, publisher EMI Unart Catalog
  
• Staff Arrangement (?), publisher Alpha Musicana

BMI says Ames and Scianni also wrote
1. BIRMINGHAM JAIL 118172
2. CARELESS LOVE 184301
3. CHILLY WINDS 207866
4. COTTON MILL GIRLS 247685
5. CRAWDAD 255257
6. DEEP BLUE SEA 289727
7. HOUSE OF THE RISING SUN 589041
8. ON TOP OF OLD SMOKEY 1116296
9. RAISE A RUCKUS 1227443

Why do I have a hard time believing that? I suppose West may have somewhat of a legitimate claim on the song, but you'll see in the other thread that she learned it from somebody else and copyrighted only her version. Hedy stopped by here at Mudcat a couple of years ago, but nobody has heard from her lately.
No listing for "Cotton Mill Girls" at ASCAP.
-Joe Offer-