That's very interesting! Dick Teela is credited with the vocals on another recording of the same song, "Who Wouldn't Be Jealous Of You", recorded by Bill Hogan and his Pere Marquette Hotel Orchestra on January 24, 1929, issued on Vocalion 15765:
The voices on this and the Ray Miller recording below seem different, don't they?
Not surprisingly, Brian Rust later changed his original (1975) attribution of the vocal from Dick Teela (1975, p. 1254) back to Bob Nolan: Brian Rusts' "Jazz Records 1917-1934" (free personal use edition), p. 816, credits the vocal on "Who Wouldn't Be Jealous Of You" to Bob Nolan, as does his "Jazz and Ragtime Records" (2002), p. 1157.
Rust's American Dance Band Discography says the uncredited vocal on Side B is Bob Nolan. It also says that the vocal on Side A is by someone named Dick Teela. You will note that the label says otherwise, crediting that vocal also to Bob Nolan.
Uploaded two Brunswick label variants. I would guess the ones with the larger catalog number and without the small patent text (U.S. PAT. 1,637,544) under the Brunswick logo are slightly earlier, but I am not sure.