Did Charles Manson write songs with The Doors?

Manson's music was written for himself. He had high hopes of fame and fortune as a singer. Through his aquaintence with Beach Boy Dennis Wilson Manson met Terry Melcher, a record producer. Melcher listened to Manson's music briefly and passed. The Beach Boys did record one of Manson's songs as did a few other artists, but Mason did not write songs for The Doors.