Hello casarosa,
I've only just seen your request for dots. I've checked my catalogue of music and have come up with:-
OLE FAITHFUL. (note the spelling of Old)
From what you've said in your post, the words to this tune suggest this may be the copy you're looking for and I quote:
"Ole Faithful, we rode the range together,
Ole Faithful, in every kind of weather,
When your round up days are over,
There'll be pastures white with clover,
For you, Ole Faithful, pal o' mine"
It is in a book called "Your Kind Of Music - The Thirties" on page 151.
At the moment, I cannot scan anything into my computer, so if you don't have this book and it is indeed what you're looking for, let me know and I'll get my daughter to send it on to you.
Audrey