Just got back from there on Sunday.
Unfortunately, The Woodbox is no longer there.

It's been replaced with 29 Fair Street, we didn't bother eating there. We ate at
The Lobster Shack on Washington St. in town. Not fancy, but delicious lobsters.
Saylee's Seafood on Washington St. Ext. in town. It's pretty much a take-out place, but they have some plastic chairs and tables on their porch. Ate lunch here, and it was supurb. You have to get the fried whole clams.
The Tavern on Main St. in town. It's a bar and grill with very good food, again, we ate lunch here.
The White Elephant on Edison St (I believe) in town. We had a lobster/clam bake here, and it was great.
We didn't get a chance to eat at
The Summer House in Sconcet, but it got some high praises from the people we spoke to, as did
The Sea Grille on Sparks St. in town and
The Straight Wharf right next to
The Tavern.
Don't forget to visit Murray's Toggery Shop on Main Street to pick up some
Nantucket Reds, and the Jewlers Gallery on Centere Street to pick up the finest quality, handwoven gold Nantucket Basket jewlery.
**edited for many spelling errors**