The family of Peter was thought to be a wife and one daughter. Peter's wife name traditionally was Perpetua, meaning forever and his daughter's name was Petromnilla, meaning the daughter of Peter.
Peter's wife would travel with him. (1 Cor. 9:5) Clement of Alexandria says the she died as a martyr, led to dead in the site of Peter who said to her, "Remember the Lord".
Tradition has it that Peter’s wife was the daughter of Aristobulus, so that while Mark is described as “sister’s son to Barnabas” he was also brother-in-law to Peter. There is also a touching legend concerning Christians in Rome who ceased not to urge Peter to escape when seized and cast into prison so that he might continue to be of service to the church at large. The Apostle yielded to their entreaties and somehow escaped, but when free on the open road he was arrested by a vision of Christ, and he asked Him, “Whither art Thou going?” The glorified One replied, “I am come to Rome to be crucified a second time.” Peter, humiliated, turned back to prison. When death came, his wife was martyr first, and as she was led out to die, Peter comforted her with the words, “Remember the Lord.” When Peter’s turn came he begged his crucifiers to crucify him head downward, feeling he was unworthy to die in exactly the same way as his Lord. In heaven, Peter and his loyal wife shine together as stars for having turned many to righteousness.
“They say, accordingly, that when the blessed Peter saw his own wife led out to die, he rejoiced because of her summons and her return home, and called to her very encouragingly and comfortingly, addressing her by name, and saying, ‘Oh thou, remember the Lord.’ Such was the marriage of the blessed, and their perfect disposition toward those dearest to them.”
“Clement, indeed, whose words we have just quoted, after the above-mentioned facts gives a statement, on account of those who rejected marriage, of the apostles that had wives. "Or will they," says he, "reject even the apostles? For Peter and Philip begot children; and Philip also gave his daughters in marriage. And Paul does not hesitate, in one of his epistles, to greet his wife, whom he did not take about with him, that he might not be inconvenienced in his ministry."
Titus Flavius Clemens, also known as Clement of Alexandria (Greek: Κλήμης ὁ Ἀλεξανδρεύς; c. 150 A.D.–c. 215 A.D.), was a Christian theologian and philosopher who taught at the Catechetical School of Alexandria. Among his pupils were Origen and Alexander of Jerusalem. A convert to Christianity, he was an educated man who was familiar with classical Greek philosophy and literature. As his three major works demonstrate, Clement was influenced by Hellenistic philosophy to a greater extent than any other Christian thinker of his time, and in particular, by Plato and the Stoics. His secret works, which exist only in fragments, suggest that he was familiar with pre-Christian Jewish esotericism and Gnosticism as well. In one of his works he argued that Greek philosophy had its origin among non-Greeks, claiming that both Plato and Pythagoras were taught by Egyptian scholars. [https://en.wikipedia.org/wiki/Clement_of_Alexandria]