Mongo Santamaria. Mel Brooks was a fan of his, so he wrote a line in Blazing Saddles for a citizen on the street to voice his concern that Mongo was coming. "Mongo! (gulp) Santa Maria!" lol
Although Armstrong and Cole are jazz artists, "What a Wonderful World" and "L-O-V-E" were and are not "jazz songs" but simple pop songs, albeit pop of an earlier generation. If Wynton Marsalis sings "Happy Birthday" to someone, that doesn't make Happy Birthday a jazz song (unless he adds some swing syncopation, improvisation or extended harmony to it--and then only the performance would be jazz, but not the song as such). Jazz compositions (not really "songs" unless they are sung) such as "So What", "Ornithology" and "One O'Clock Jump" were conceived of as jazz pieces, written by jazz artists and don't make much sense as pop songs of this or any generation.
Sing Sing Sing was written and performed by Louis Prima (King Louis!), hence the big drum introduction for him to have fun with. I spent a long time trying to figure out what was wrong before remembering Benny Goodman played it too. Maybe accept both?