I immediately contacted that great benefactor of traditional jazz musicians the world over - Lasse Collin. He has made leadsheets for hundreds of tunes freely available to us on his website. I was so pleased that he also liked the tune and promised to produce a leadsheet for it without delay. A few hours later, he had completed the job, and he let me know that the result can be found at:
Meanwhile, I had sought out the origin of the song and found that it was recorded in 1922, having been composed in 1921 by Harold Dixon, with words by Lawrence Perricone.
Conclusion: let's start playing this tune, with a big thank you to Maddy for reviving it, to Randy for filming it, and to Lasse for working out a leadsheet.