Gotta agree with Esty and Inziladun, the Gamgees were at the party. Except it was probably "One for you, Mr. Proudfoot, two for my Gaffer, and one more for me!"
Seriously, I have no doubt the Gamgees were both at the party, as well as their cousins, nephews, nieces, aunts, uncles, grandfathers, grandmothers, grandaunts and -uncles etc. as well as many and any other relatives they had including assorted siblings (we don't know for a fact that Sam was an only child, only that he was the only one who "made good!")
After all, it is clear that Bilbo planned and executed a community festival, not a private party. The real question is, was this party the clincher in why it was (apparently) so difficult for him to give up the Ring when it came down to it? After all, it was the first time he used the Ring to trick, and not merely to hide. Surely, that stress would have worked on him, at least a little, to make Gandalf's job more difficult in persuading him to give it up?
Just a random thought . . .!
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But all the while I sit and think of times there were before,
I listen for returning feet and voices at the door.
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