Erin Dilly, Eddie Korbich and John Bolton are among the thesps joining Dan Lauria in the Broadway cast of the musical adaptation of “A Christmas Story.”Dilly (“Nice Work If You Can Get It,” “Chitty Chitty Bang Bang”) will play the mother in the story about Ralphie, a boy who desperately wants a BB gun for Christmas. Bolton (“Curtains,” “Gossip Girl”) plays the boy’s father, reprising a part he initially played in the 2011 national tour of the show, while Korbich (“The Little Mermaid”) has signed on to portray Santa Claus. Caroline O’Connor (“Chicago”) and moppet Zac Ballard, cast as the protag’s younger brother, also appear in show alongside Lauria, playing Jean Shepherd, the narrator character based on the writer-humorist whose work inspired “Christmas Story.” The kid thesp who will play Ralphie remains to be cast. Adapted from the 1983 holiday film, “A Christmas Story” has songs by Benj Pasek and Justin Paul and book by Joseph Robinette. John Rando directs the production, beginning previews Nov. 5 at the Lunt-Fontanne Theater.