The town has the most same-sex marriages in Connecticut; statewide figures through February, the most recent available, showed Greenwich as the wedding spot for one in every five gay couples, though it has only 2 percent of the population.

Best known for its old- and new-money families stretching from the Long Island Sound to its fabled back country, Greenwich has been vexed in the past by its proximity to the border. In 2001, the crowds of people buying tickets for the Powerball lottery game, not available in New York, grew so big that town officials suspended sales for a day.

These days, by contrast, local businesses would like Greenwich’s new wave of toe-dippers to stick around a little longer than they have been. Most couples have a brief ceremony in a Town Hall meeting room or outside on the grounds, then leave immediately for receptions back in New York or honeymoons elsewhere.

Thomas C. Delaney, the general manager of the Hyatt Regency Greenwich, said the hotel had advertised on some gay and lesbian Web sites in hopes of attracting more business. The Hyatt averages 70 weddings a year, he said, but this summer only two same-sex weddings are scheduled so far. “We’d like to have a lot more,” he said.

June, the traditional month for wedding bliss, is coincidentally the month that New York’s Legislature is weighing whether to allow weddings between two people of the same sex. But while same-sex marriage is still not permitted in New York, Gov. David A. Paterson decreed last year that state agencies would honor such marriages legally performed elsewhere.