Another episode of the same program includes a recording of TICKLISH REUBEN, recorded by Cal Stewart in 1902. (Click to play.) The song begins 00:45:35 from the beginning of the program. Here's my transcription (with one gap).

TICKLISH REUBEN
(Cal Stewart)

My name is ticklish Reuben from way back in old Vermont,
And ev'rything seems ticklish to me.
I've been tickled by an undershirt, been tickled by a wasp,
I've been tickled by a yellow bumblebee.
I have always got a tickled sort of way about my clothes.
It doesn't really matter where I be.
I am tickled in the morning and I'm tickled in the night.
Something's always sure to tickle me.

CHORUS: Hahahahahahaha! Hahahahahaha!
HAhahaha hahahaha hahahaha hahaha!
I am tickled in the morning and I'm tickled in the night.
Something's always sure to tickle me.
Hahahahahahaha! Hahahahahaha!
Hahahaha hahahaha hahahaha hahaha!
Oh, I'm tickled in the morning and I'm tickled in the night.
Something's always sure to tickle me.

2. Oh, once I put some pepper into Dad's snuffbox,
And the way he acted was a sight to see.
Well, he coughed and he sneezed till I thought he'd have a fit,
And then he took me out to tickle me.
I was always getting tickled by someone about the house,
So why they ... I could never see;
And the apple-butter paddle it is all in splinters now.
Mother wore it out a-ticklin' me. CHORUS