Note: I got these names from the Appendices in the back of my copy of LotR. On the Hobbit Family Trees, the guests are underlined. However, no names on the Gamgee family tree were underlined, so I had only the Gamgee names I knew for certain had attended. Thud there are not 144 names. Sorry!

Bilbo Baggins
Frodo Baggins
Otho Sackville-Baggins
Lobelia Sackville-Baggins
Lotho Sackville Baggins
Odo Proudfoot
Olo Proudfoot
Sancho Proudfoot
Poppy Bolger
Filibert Bolger
Gilly Brownlock
Ponto Brownlock
Porto Brownlock
Peony Burrows
Milo Burrows
Angelica Brownlock
Mosco Burrows
Moro Burrows
Myrtle Burrows
Minto Burrows
Dora Baggins
Dudo Baggins
Daisy Boffin
Griffo Boffin
Ferumbras III Took
Paladin Took
Eglantine Took
Peregrin Took
Pearl Took
Pimpernel Took
Pervinca Took
Adelard Took
Reginard Took
Everard Took
Rosamunda Bolger
Odovacar Bolger
Fredegar Bolger
Estella Bolger
Ferdinand Took
Ferdibrand Took
Rorimac “Goldfather” Brandybuck
Saradas Brandybuck
Saradic Brandybuck
Hilda Brandybuck
Doderic Brandybuck
Ilberic Brandybuck
Celandine Brandybuck
Saradoc “Scattergold” Brandybuck
Esmerelda Brandybuck
Meriadoc Brandybuck
Merimac Brandybuck
Berilac Brandybuck
Asphodel Burrows
Rufus Burrows
Dinodas Brandybuck
Merimas Brandybuck
Mentha Brandybuck
Melilot Brandybuck
Hamfast Gamgee
Bell Gamgee
Samwise Gamgee
Hamson Gamgee
Halfred Gamgee
Daisy Gamgee
May Gamgee
Marigold Gamgee
Tolman Cotton
Lily Cotton
Tom Cotton
Rose Cotton
Wilcome Cotton
Bowman Cotton
Carl Cotton
Andwise “Roper” Gamgee

I hope you found this helpfull!
Esmerelda~Baggins