We do know that Peter had a wife. During His earthly ministry, Jesus came to Peter's house and healed "his wife's mother" (Matthew 8:14- 5; Mark 1:30-31). This proves that Peter had a wife.
In 1Corinthians 9:5, Paul asked, "Have we not power to lead about a sister, a wife, as well as other apostles, and as the brethren of the Lord, and Cephas?" Cephas was another name for Peter. In this verse it speaks of him leading about a wife. Most likely, this meant that he took her around with him to different places as he traveled.
However, as to the scriptural record, this is all we know for sure. The only possible reference to a child is in 1Peter 5:13 where Peter refers to "Marcus my son." This is probably a spiritual reference to John Mark. However, there is an outside chance that it could refer to a biological son.
The story of Peter's wife's martyrdom is later tradition and is not mentioned in the Bible at all. Other traditions give her different names and refer to various children, but they are all tradition and are very suspect. I prefer to stay with the Bible. At the most, we can except some very strong traditions as possible. However, the traditions concerning Peter are just too late and have too many contradictions among themselves to be of any value.
