The folks at archive.org have a huge number of "double entendre party records" in their audio > music & arts > 78s category. Benny Bell, Ben Light, Cliff Edwards (aka "Ukelele Ike," aka "Jiminy Cricket") even has a couple. For more by Edwards, visit redhotjazz.com -- and while you're there, look up "Organ Grinder Blues" by Clarence Williams. There are two vocal versions that are in the great tradition under discussion.
For some reason, searching the site for "double entendre" or "doubleentendre" or even "party" doesn't bring up more than a fraction of what I found by prowling through the listings in order a couple of times, but it can provide a starting point. Many of the artists who recorded them are represented by a single entry, "Collected Works Of _______," which can have anywhere from one or two do several dozen individual files inside.
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Some of my favorites at archive include Ben Light and his Surf Club Boys doing I'm Going To Get a Robot Man and The Full-Her Brush Man, and Benny Bell giving it his all for Everybody Wants My Fanny, Go Take a Ship For Yourself, Why Buy a Cow When Milk Is Cheap, and the ubiquitous (for any Dr. Demento listener) Shaving Cream.
For some reason, searching the site for "double entendre" or "doubleentendre" or even "party" doesn't bring up more than a fraction of what I found by prowling through the listings in order a couple of times, but it can provide a starting point. Many of the artists who recorded them are represented by a single entry, "Collected Works Of _______," which can have anywhere from one or two do several dozen individual files inside.