"I Call Your Name" was written by John Lennon before forming the Beatles, and it was originally recorded by Billy J. Kramer with the Dakotas, also managed by Brian Epstein and produced by George Martin. I found surprisingly few covers of this great song.
I couldn't find a live clip of The Beatles, but this remastered cut emphasizes George Harrison's intro on the Rickenbacker twelve-string:
Sorry about the audio quality, this was the only live version I found.
This version doesn't add much, but I included it because there is a left-handed bass player (as well as a left-handed guitarist):
h/t Mark:
The Mamas & Papas version of I Call Your Name is better than the original… that's often true when it comes to any song the Mamas & Papas covered. Here's the Ed Sullivan appearance:
https://www.youtube.com/watch?v=9RvSZPQBHhs