Martin takes on the role of Berthe, for which she won a 2013 Tony.
Kate Burton, Sheldon Harnick, and April Gornik were honored at the annual event.
The company will donate its time and talent for the event.
Betsy Wolfe of Bullets Over Broadway and Jessica Phillips will sing the music of the Oscar and Grammy winner.
Wicked composer Stephen Schwartz brings one of his lesser-known musicals to Washington, D.C.
Can-Can and Ever After will also be a part of the New Jersey theater's 2014-2015 season.
The classic Disney score by Alan Menken and Stephen Schwartz will take the California stage this fall.
The Boston cast performs the newest version of the Stephen Schwartz musical, featuring additional numbers by Tony-winning rap artist Lin-Manuel Miranda.