"But you didn't want to be in that band, and you both knew it," said Mason.
"Well, we loved Linda, and we loved what she was doing musically. But we wanted our own band. Especially Glenn. I mean, he really had a plan. He wanted to put a band together that had four guys in it who could all sing."
The Eagles, formed in 1971, would be the bestselling American band of the decade -- and their "Greatest Hits" album the bestselling record of all time.
Their recent retrospective tour was built around a revealing documentary, "History of The Eagles."
"And when you saw it all out there, what did you think?" Mason asked.
"Well, I thought we struck a pretty good balance between the triumphant and the tawdry," Henley replied.
The film includes some less-than-charitable comments about Henley by former record executive David Geffen, who signed The Eagles but later split with them in a nasty contract dispute. "He's a malcontent," Geffen said of Henley. "He's always been a malcontent and, you know, that's just life."
And what did Henly think of that comment? "Well, I mean, that wasn't the first time. I just thought, 'Yeah, that's so him.'"
And Henley was ready to leave it at that ... almost.
"Can I elaborate on the malcontent?" he asked.
"Glenn and I both, when we detect dishonesty and unfairness, we are malcontents, as we should be. And we smelled a rat pretty early on. So if that makes me a malcontent, then I'll own it."
The "History" tour was a huge success for The Eagles, grossing more than $250 million.
So, Mason asked, "If the other guys want to do another tour, are you going to answer that call?"
"Probably. Because I think that we will eventually in the next couple of years actually come to the end of it. So I don't want to be the one to call it off.
"I think Glenn will probably be the one to call off the Eagles thing, you know? I think it'll be his decision when it's time to stop. And I'm gonna leave that to him."
"Can you imagine it ending?"
"Yeah, I can," Henley said. "And I'll be okay with that. I mean, I don't really like the limelight. I never have. But I have to sell this album!"
Resuming his own successful solo career has meant returning to Cass County -- where he started a foundation to preserve Caddo Lake -- and to Linden. Henley, who lives several hours away in Dallas with his wife and three children, has bought the land the old movie theatre used to stand on. He remembers walking to the theatre to see the horror movie, "The Blob." "And then I had to walk home!" he laughed.