I lived right around the corner form Disney on Little Lake Byran for years. You do have Goodings near by; worse case scenerio, if they don't deliver is to take a taxi from Downtown Disney to there it's approx. 1 mile. Also, you can take a taxi from DTD to the nearset Publix which is just across from the Outlet Mall on Vineland-which by the way has an EXCELLENT Disney Outlet store!!! This Publix is great! Excellent food, killer cakes and cheaper than Goodings, plus I feel, better quality than the Goodings over there. You might check to see if Publix does deliveries anymore, but I don't think they do. However, a taxi shouldn't be too expensive.
Another thought coul dbe Buffalo Wild Wings which in the center with Goodings-good party platters and I think they deliver, but not 100% sure. And ofcourse, there is Hooters right in the same area.
Hope this helps!
Enjoy your wedding!!!