"Ramblin' Woman" by George Harrison or Bob Dylan ?

Forgive me if I have asked this question before.
I searched the threads but couldn't find anything so here goes:

On January 9th 1969, The Beatles were filming 'Let It Be' at Twickenham film studios.
At one point during the filming George took the solo spot and played three songs alone on his acoustic guitar.
As he had visited Bob Dylan in Woodstock in late 1968 he was very influenced by him and the songs were:

"Ramblin' Woman"
"I Threw It All Away"
"Mama You've Been On My Mind"

Apparently he had learned "I Threw It All Away" from Bob himself as the author didn't record it until February for his "Nashville Skyline" LP.
George had probably also learned "Mama You've Been On My Mind" from Bob himself himself as the master had chosen not to release his own 1964 recording but instead given the song to Joan Baez.
My question is: What about "Ramblin' Woman".
Is that also a Bob Dylan composition ?
Or was it written by George ?
I hope some of the Bob or George fans on this site can help me out here.
Thanks in advance for all help.

 

I'm sure that I've read somewhere that George wrote "Ramblin' Woman". I'll need to find my source for that....

 

Ok, on January 3rd, Sulpy/Schweighardt write the following about "Ramblin' Woman":

 

Excellent !
Thanks a lot for your kind reply.
That was just what I was looking for.
Thanks again.

 

Harrison played this with Dylan in 1970 too:

5-1-70
Columbia Studio B - New York, NY
"Almost Went To See Elvis"

Ghost Riders In The Sky
Cupid
All I Have To Do Is Dream
Gates Of Eden
I Threw It All Away
I Don't Believe You
Matchbox
True Love Your Love
When's My Swamp Gonna Catch Fire?
I'm a-Goin' Fishin'
Honey Just Allow Me One More Chance
Rainy Day Women #s 12 & 35
Song to Woody
Mama You Bin On My Mind
Don't Think Twice It's Alright
Yesterday
Just Like Tom Thumb's Blues
Da Doo Run Run
One Too Many Mornings Set

afternoon studio session:
Bob Dylan - vocals, guitar, harmonica
George Harrison - guitar, backing vocals
Charlie Daniels - bass, backing vocals
Bob Johnston - piano
Russ Kunkel - drums

 

I think that song goes way back to the 1930s.