Jennifer Aniston to John Mayer: Meet My Dad!

John Mayer met girlfriend Jennifer Aniston‘s dad, also named John, Wednesday at Beverly Hills Hotel’s posh Polo Lounge.

Joining Jen, 39, and John, 31, was Days of our Lives star John Aniston, 75, and his second wife, Jen‘s stepmom Sherry Rooney, and another older couple.

“Jen‘s dad seemed very impressed with John and the two got on real well,” an onlooker tells Star.

Even though the two sat directly across the table from her dad, “they couldn’t keep their hands off each other,” an eyewitness reveals. “Jen was constantly rubbing his hair and John was rubbing her back, then every so often they would steal a kiss. They both looked very happy and very much in love.”

Adds another onlooker: “John and Jen held hands under the table. She would put her arm around him and he would reach up and grasp her hands. But John was fidgeting and texting under the table looking a bit nervous.”

After starting with a round of cocktails, John and Jen shared a salad, followed by a fish entree. She was even seen feeding him a vegetable off her fork.

“John spent a lot of time talking about his music philosophies – why certain decades have better music,” says the eyewitness. “He discussed his experiences with Aretha Franklin and made a joke about Tom Hanks.”