Rufus means “red” or “reddish.” One Rufus was a son of Simon of Cyrene, who was compelled to carry Jesus’ cross. Another Rufus was a Christian in Rome whom Paul greeted.
Mark names Rufus with his brother Alexander as a son of Simon the Cyrenian. Paul calls the Roman Rufus “chosen in the Lord” and sends greetings to his mother, whom he describes as also having been a mother to him. The two Rufuses may be the same person, but this remains a conjecture.
Rufus was a common slave name. The name was familiar to the readers of Mark, and the Roman Christian community is one proposed setting for that Gospel’s original audience.