The Rev. Doug Carpenter told the Birmingham (Ala.) News Aniston was named one of Coco's godmothers during the "wonderful gathering" Saturday. Carpenter performed Cox and Arquette's wedding ceremony in 1999.
"It was a very happy occasion," Carpenter said of the baptism, attended by about 110 friends and family. "I reminded them of something I had said at their wedding, about Jesus saying that a light set on a hill cannot be hidden. The world was watching to see what kind of marriage they had, and now they'll be watching to see what kind of parents they are."
Aniston was the only high-profile friend of the family to attend Saturday's ceremony, Carpenter said.
"There were no cameras during the ceremony, but afterward, everyone wanted their pictures taken with the stars," he said, adding that Cox, Arquette and Aniston "seemed to enjoy that."