There's nothing that says that in this particular passage. However, we know from the following passage that his wife traveled with him at the time that the book of Colossians was written, unless you won't to argue that he was really carrying around his dead wife's body.
1Co 9:5 Have we no right to lead about a wife that is a believer, even as the rest of the apostles, and the brethren of the Lord, and Cephas?
Finally, we have the writings of Clement of Alexandria and Eusebius that refer to Peter's wife being the first of the two to suffer martyrdom.
I know why you have such a hatred of me, ninenot. It's because I do my research.