By the end of an Apple Sisters show, Candy, Cora and Seedy Apple (Rebekka Johnson, Kimmy Gatewood and Sarah Lowe, respectively) are heaving, sweating and covered in a patina of pudding and corn. The packed house is going nuts, clearly appreciating how rare it is to watch original dance numbers, hear three-part harmonies and witness grown women spit kernals on one another in an upstart indie comedy show.

The trio of comics, who create their own script, songs and moves, play the sister stars of a popular radio hour in 1943, channeling the juvenile Judy Garland in their inflections and inhabiting all of the period’s innocence and patriotism with tongues in cheeks. In the current “live broadcast,” a best-of revue culled from the last year of variety shows, the sisters prepare for a trip overseas to entertain the Allied forces. The characters are dull-witted but good-natured. They’re adorable in their cluelessness, especially Cora, the daftest of the three—Gatewood was tailor-made for this character; her wide eyes and constant hamming steal the spotlight in almost every scene.

The show soars during its silliest moments, which are also its most unique. Throughout the night, the sisters thank their sponsors, one of which is candy corn, which turns out to be just corn, which ends up all over them. Dissection would ruin such a simple gag, so let’s just say this: There’s something gut-funny and satisfying about watching gorgeous, leggy ladies inexplicably make themselves unattractive, a tenet Amy Sedaris proves again and again. At the start of the song “Hey There Puddin’ ”—as in, “Hey there puddin’, I wanna kiss you”—the Apples slink across the stage crooning sexy lyrics; male audience members whistle on cue. Then the girls pucker their lips and mash them into individual bowls of chocolate pudding, coming up for air with brown goo dripping off their faces, and smiling broadly as if nothing was off. The moment the crowd’s coos switch involuntarily to ewws is priceless.

The number “Pink Wine” bends toward a feminist message with its suggestion that a glass can make any depressed housewife feel bubbly (we won’t spoil this one). And the finale, “War Is Great!,” skates close by a satire of the American military. But one would be remiss to search for too much meaning in an Apple Sisters show. After all, the ladies are about to be USO stars. They’re here to entertain with high kicks, catchy melodies and a lot of stage makeup. But troops paying attention will occasionally catch those blue-shadowed eyelids winking.

The Apple Sisters perform Thu 26.