Barbershop quartets? What most people know about them is probably limited to The Music Man. Still, they’re jovial company in The Apple Boys, a delightful little musical at the HERE Arts Center, even if they’re not entirely boys. Jack (Jelani Remy), Nathan (Teddy Yudain), Warren (Jonothon Lyons, who wrote the book), and Hank (Amanda Ryan Paige) are turn-of-the-20th-century Coney Islanders, and Jack also happens to be Johnny Appleseed’s grandson. It’s the first in a long line of whimsies, anachronisms, and out-and-out lies that fetchingly tie the loose plot together.