I ran across this article about the song "Surf City". This should settle it once and for all about who wrote and who recorded it.
"The 1963 number one hit, "Surf City" was co-written by Brian Wilson of the Beach Boys and Jan Berry from the duo Jan and Dean.
According to Stereogum, “Surf City” became Jan and Dean’s only No. 1 song in the United States. It topped the Billboard Hot 100 for two weeks. Notably, this happened before any of The Beach Boys’ songs reached the top of the chart.
The first draft of the song, with the working title "Goody Connie Won't You Come Back Home", was written by Brian Wilson of the Beach Boys. While at a party with Jan Berry and Dean Torrence, Wilson played them "Surfin' U.S.A." on the piano. Berry and Torrence suggested that they do the song as a single, but Wilson refused, as "Surfin' U.S.A." was intended for the Beach Boys. Wilson then suggested that the duo record "Surf City" instead, demoing the opening, verse, and chorus. Wilson had lost interest in the song and believed he was never going to complete it himself. Berry later contributed additional writing to the song, while Torrence also contributed several phrases, but never insisted that he be given writing credit.
Released in May 1963, two months later it became the first surf song to reach number one on national record charts, remaining at the top of the Billboard Hot 100 for two weeks.
The Beach Boys' manager and Wilson's father Murry was reportedly irate about the song, believing that Brian had wasted a number one record which could have gone to his group, the Beach Boys. Brian later told Teen Beat, "I was proud of the fact that another group had had a number 1 track with a song I had written ... But dad would hear none of it. ... He called Jan a 'record pirate'."