I found this piece of info on Jerry Byrd's website. He's a longtime sports writer in the Shreveport, LA area. I met him back in the mid-90s and saw him at games quite often.
http://www.jerrybyrd.com/
"In 1967, when the Saints were preparing for their first season, they chalked up their first exhibition win here with a 23-14 victory over the St. Louis Cardinals before an estimated crowd of 28,500 at State Fair Stadium.
There was a brief flare-up on the Saints' sideline when Jimmy Taylor caught a pass from Billy Kilmer and was hit out of bounds, but cooler heads prevailed when the players realized it was only an exhibition game.
Playing only in the first half, Kilmer passed for 142 yards and two touchdowns (an 18-yarder to Tom Hall for the first score, after rookie Elijah Nevett returned the opening kickoff 59 yards, and a 28-yarder to Ray Ogden). Taylor led both teams in rushing with 10 carries for 40 yards.
A year later, the Saints returned for an exhibition game with the Minnesota Vikings.
The most memorable event that night came before the opening kickoff, when Taylor, warming up with his teammates in the South end zone, walked off the field, ending his 10-year National Football League career.
After leading the Saints in rushing in their first season with the modest total of 390 yards (28 yards per game), the former LSU All-American and Green Bay Packers star had been assigned to special teams play by Coach Tom Fears.
His departure surprised both team owner John Mecom, Jr. and Fears. "It was a shock to me about Jimmy," Mecom said after the Vikings scored a 20-17 victory over the Saints before a crowd estimated at 23,000.
After posting a 3-11 record in their first season, tying the NFL record for wins by an expansion team, the Saints went into the 1968 season talking about a divisional title. "I'm glad they feel that way," said Fears. "But I have to be more realistic than optimistic."
The Saints' average attendance at old Tulane Stadium in their first season was 77,000 --fourth best in NFL history at that time. But the team was still a long way from being a playoff contender. They were 4-11 in their second season.
The Cowboys had gone through growing pains a few years earlier. But they were prennial title contenders by the end of the 1960s, and became "America's Team" in the 1970s.
Before their first Super Bowl victory, the Cowboys earned a reputation as "next year's champions."
That has been the theme throughout the existence of a Saints' franchise that always talks the talk, but has never walked the walk."
What is weird about this, aside from the obvious Caste workings, is that I've been right where Jim Taylor walked off the field, and never knew it till tonight.