Stetten posted a number of messages on Twitter on June 6 suggesting that Presley, who is married and claims to not drink alcohol, "had 3 heinekens and is wasted" and "said he was engaged for 6 months but broke it off".
"Who opens the windows on a redeye flight? Brian does. F**king Brian....Did I just ruin Brian Presley's life via twitter?," she concluded after posted a photograph of the sleeping actor.
Presley countered on Facebook: "I love that I took a red eye flight to NY, had a 10 minute friendly conversation with the person sitting next to me, had some food, and went to sleep!
"I learned today this person has been tweeting about me drinking beer in the airplane bathroom, and trying to commit adultery with her on the airplane. Really absurd and quite funny!"
He continued: "They Even took pictures of me while I was sleeping. A little WIERD! I was on a soap opera for years and never did the writers write something this good:)
"None of what this person said happened is true! I guess in today's age you have to be careful who you say hello too."
Presley added: "Sobriety, God, & My Family are the most important things in my life! My Wife Rocks, My Kids Rock, and Sobriety Rocks!!!
"I will pay this no more attention and I encourage all of you to do the same. God Bless all of you and thank you all for all your support! - Brian"
Presley is best known for his part as Jack Ramsey in Port Charles from 1999 to 2003.
He stars opposite Kurt Russell in upcoming movie Touchback.