06/07/2012 AT 5:55 AM ET
The couple sat in first class, across the aisle from comedian Tom Arnold, another presenter at the show.
Both sans sunglasses, “Denise sported a simple white T-shirt and had minimal makeup on, if any at all,” an onlooker tells PEOPLE. “Sambora was in his usual all-black rocker chic gear.”
While boarding, “Richie typed on his phone, occasionally showing Denise, who would smile,” the source says. “During the flight, Richie read the newspaper. The pair looked very happy together.”
– Jennifer Garcia