Too bad according to a NY times article at the time the Dodgers were the 1st choice for team name before the Titans but it did not work out.
Originally nicknamed the Titans, the team was renamed the Jets in 1963 after Sonny Werblin led an investment group that purchased the bankrupt franchise for $1 million.
According to a contemporary New York Times story, the franchise considered calling itself the Dodgers, but nixed the idea after Major League Baseball didn’t like it. Gothams also got some consideration, but the team didn’t like the idea of having it shortened to the Goths, because “you know they weren’t such nice people.” The last finalist to fall was the New York Borros, a pun on the city’s boroughs; the team worried that opposing fans would make the Borros-burros connection and derisively call the squad the jackasses.
Eventually the team became the Jets since it was going to play in Shea Stadium, which is close to LaGuardia Airport. According to the Pro Football Hall of Fame, the name was supposed to reflect the “modern approach of his team.”