BY ADRIENNE GAFFNEY

The New York Botanical Garden’s annual Antique Garden Furniture Show and Plant Sale took place over weekend, but was unveiled on Thursday at a party for benefactors and denizens of the design world.

A frenzied rush occurred at 5:30 p.m. that evening, with the excitement and vigor rivaling that of a Christian Louboutin sample sale or a Justin Bieber autograph signing.

The show, which is in its 20th year, was sponsored by 1stdibs, the online marketplace for antique …