The Beatles performed before 18,000 fans at the Convention Hall in Atlantic City, New Jersey.
The night before they had stayed at the Lafayette Motel. At 2.15pm they left in the back of a fish truck, and a short distance from the Convention Hall they switched to their waiting tour bus.
After the show The Beatles left the venue in a laundry truck, as their limousine was too conspicuous. That night they stayed at the Marquis De Lafayette Hotel in nearby Cape May, where they stayed for a few days prior to their 2 September concert in Philadelphia.
During their stay in Atlantic City, John Lennon and Paul McCartney wrote the song Every Little Thing, which appeared on the Beatles For Sale album at the end of 1964.
The Beatles Off The Record, Keith Badman

Good information. I was at the show. The only flaw is the reference to the Lafayette being six miles away. It was more like six blocks away.
By the way, the opening acts that night were the Bill Black Combo, the Exciters, and the Righteous Brothers.
I was at the concert also, although I was only 6 1/2 years old.I just recently found the tickets at my mothers. My parents sent to New York for the tickets and they were $3.90 apiece. I have a picture of them if you would like to see them.
I was there, too, in the 7th or 8th row back. I was almost 12 years old. Couldn't hear a thing, though, with all the screaming. It was a mob scene.
All these years I thought the car (truck) I seen John Lennon in was a ambulance, they were parked and I went up and asked a man there did he have any aspirin I had a awful headache. I seen movement under some sheets and John popped his head out and gave me a big smile , I just looked at him and smiled back, Then the man closed the door and the truck took off, I went back to my friends who hogged the binoculars at the concert and told them what I saw. They were not amused that I did not call them over.
I was there! The Beatles stayed in Atlantic City at the Lafayette Hotel on North Carolina Avenue...NOT in Cape May.