You should definitely both be tested. One of the characteristics of Chlamydia is that many people show no symptoms at all. That is one of the reasons that it is so much of a problem because if someone isn't suffering any ill effects they won't be seeking medical advice.
The only way to know for sure is by you both being tested. You are obviously concerned for yourself and your wife, so put your minds at rest. If it is Chlamydia then it can be treated, so try not to worry too much.