I have no idea whether this is the same song Jools Holland did, but I found this:

Copied from http://blueslyrics.tripod.com/artistswithsongs/sonny_boy_williamson_ii_3.htm#work_with_me

WORK WITH ME
by Sonny Boy Williamson II (Rice Miller)

Yes, work with me, baby, and I'll work with you.
Work with me, mama, and I will work with you.
I'll try to make it so pleasant, darlin', 'till you don't know what to do!

Ah, let me work wit' you, and I'll learn you how to work with me.
Let me work wit' you, and I'll learn you how to work with me.
Little girl, I'll make you so happy, be as happy as a child can be!

Oh, I like to work with you, baby. I can work all night long.
I like to work with you, baby. I can work all night long.
If you work with me, little girl, you know you can't go wrong!

Mama, I never gets tired of workin'. I trained up workin' from a kid.
Never gets tired of workin'. I brought up workin' from a kid.
Anytime I put up a good job for you, don't try to keep it hid!
Or tell your girlfriends 'bout the work I did!

[from "One Way Out" (Chess, 1968)]