Lyrica and Neurontin are related as best as I understand. Not sure if that's a good idea or not...taking both of them. You might want to do a bit more research. There could be long term issues. That is, you might get away with taking them both for a short period of time but the risk may increase the longer you do it.
One drug interaction checker says there are no interactions. But that's not absolute:
http://www.google.com/aclk?sa=L&ai=B...00000000001086
Check with your pharmacist. Google the two and have your doc do some research. With these kinds of drugs it pays to be safe.