There are no tests that you can personally do at this point, but a fertility specialist would be able to test you both.
Most women do not know when they are ovulating. You can mark your calendar and figure out when you should be ovulating, but that's never a guarantee. When you "should" ovulate isn't always when you actually do ovulate. You can also monitor your discharge to help you know when you are ovulating.
However, since you have had this much trouble, you should see a fertility specialist either way. He or she would be able to look you both over and see not only if you are capable of conceiving, but also if you might have other health issues that could even make it dangerous for you to conceive.