HEADMASTER: I’ve known your grandparents for quite some time.
RORY: I know.
HEADMASTER: In fact, I was at a party at their house just last week where I had the most delicious lobster puffs I’ve ever eaten.
A lobster puff is an appetiser of creamy lobster filling inside a choux pastry shell – like a cream puff with lobster inside instead of custard. It has a particular connection to the New England region where Gilmore Girls is set.
There are other, very different, foods called a lobster puff, but I think this is the most likely candidate.