William Luce's drama is directed by Steve Cosson.
Tony-winning director Kenny Leon and others were also on hand to celebrate.
Kenneth Lonergan's dark comedy, also starring Kieran Culkin, is directed by Anna D. Shapiro.
Erin Davie and Emily Padgett lead the cast of the upcoming Broadway revival.
Palmer joined the cast of the musical along with Sherri Shepherd.
The new comedy ran at the 2012 New York International Fringe Festival.
The ladies met the "ladies" at the Davenport Theatre.
Watch Joe Iconis and Family wow the crowd, and see the Amazing Max in action.