Turduckens are now American holiday fixtures, those Frankenstein fowl featuring a turkey stuffed with duck stuffed with chicken. Last Thanksgiving, Charles Phoenix created the turducken of desserts.

Eyeing the remains of his family's meal, Mr. Phoenix noticed everyone took a sliver of each pie—cherry, pumpkin and apple—and some cake. "I was inspired," he says, "to combine all my family's traditional holiday desserts into one."

Days...