Although the 78 RPM discography gives the CC as "Gene Krupa," this reference http://www.document-records.com/show_news.asp?articleID=372 (a Cleo Brown discography) names the writers as "Smith - Bishop - Williams" and credits MCA Music as the publisher. Brown's lyrics are the same as White's, so it is the right song.

See, further: http://songwritershalloffame.org/index.php/songs/detailed/C286/P60/ which identifies one of the writers as Clarence Williams. http://www.donaldclarkemusicbox.com/rise-and-fall/detail.php?c=9 also cites these composers, specifying "William Smith" as Willie "The Lion" Smith.

But cf http://books.google.com/books?id=gNF-jRkAzhgC&pg=PR4&lpg=PR4&dq=%22stuff+is+here%22+mca+music&source=bl&ots=_mIf_GdmmI&sig=RLdmr , a 1979 history of MJ in the USA, which acknowledges a 1934 copyright for "The Stuff is Here (Let's Get Gay)" and credits the writers as Alex Hill and J M Williams, publisher Northern Music. I don't know the "Reefer Madness" book and have no idea whether the lyrics quoted are the same as in the Brown and White recordings, though the "Let's Get Gay" (I'm so old I remember when the phrase did not have a sexual connotation) subtitle suggests that it is.

Perhaps it was written by Fats Waller and sold to both sets of claimants for the usual $50?