This is the reference in Calt. (Sorry, but it was Georgia Tom, and not Tampa Red, who gave the following.)Henry Hill was, according to Calt, an "avid consumer of Race Records" and was inteviewed by Calt. The quote to "O'Neal and van Singel" refers to Jim O'Neal & Amy van Singel "The Voice of the Blues: Classic Interviews from Living Blues Magazine". London, Routledge, 2001. Here is the entry:

It's tight like that, beedle um bum
Don't you hear me talkin' to you,
Know it's tight like that.
- Tampa Red & Georgia Tom, "Tight Like That", 1928.

A Chicago superlative recounted by Tom Dorsey ("Georgia Tom"), who helped parlay it into a best selling rece record. "there used to be a phrase they used around town, you know, folks started saying, "Ah, it's tight like that! Tight like that!" (O'Neal & van Singel). Although the term had no express sexual connotations, it would be misconstrued as a reference to "tight pussy" by record consumers such as Henry Hill, probably on the basis of the adjacent phrase "beedle um bum". This sense is only evident in the following example, remarking on infidelity:

Now Lucy came home, with a big excuse
She left here tight, but she come back loose.
- Blind Ben Covington, "It's a Fight (sic) Like That", 1928.

Michael, if you are wondering why the phrase "beedle um bum" should make Henry Hill think of sex, then here is Calt's entry for "Beedle um bum":

Oh, my beedle um bum
Come and see me if you ain't had none
It makes a dumb man speak, makes a lame man run
You'll miss something if you don't get none
- The Hokum Boys, "Beedle Um Bum", 1928.

A slang term for "pussy" current among female partygoers in Chicago during the 1920's (Tom Dorsey). It seems to have arisen from "Beedle Um Bo", a l908 ragtime piano composition by Chales L. Johnson that probably bore no sexual connotation.

Michael, you mention that you are not particularly interested in the blues, but if, as I suspect, you are interested in the English language, then you will find Calt's book of interest. I know that I do.