Thanks so much for sharing this film clip, Rob. It's delightful. I believe the Warner Bros. / Vitaphone series this clip came from was called "Ramblin' 'Round Radio Row" - they made a number of them from around 1931 to around 1935; I'd say this one was 1934, judging by the song (a 1934 hit). The series featured radio personalities (many who later became film stars, and others who were rarely if ever filmed), such as Smith Ballew, HARRY BARRIS (the Bix connection!!), Baby Rose Marie, Kate Smith, Frances Langford, the Boswell Sisters and many others. IMDB lists 9 different ones, but I can't locate the one with this Irene Taylor vocal; it's evidently a short not listed yet by IMDB.
The Vitaphone Project's website lists the following short as having Irene Taylor's presence:
LISTENING IN; 1 reel; Great singer Irene Taylor, others
...but no songs are listed, neither are they listed in the IMDB entry (which has "1932" as the year). Perhaps it's yet another short?