Your native language, to be simple, NATIVE from Latin means BORN. That would easily mean that the language of your parents from which you were born and obviously that you First spoke and speak (maybe). Your First language then could be understood as that you have been speaking since you were born and speak most. But, with mixed couples and children nowadays, it is difficult, and the ancient colonies of Africa where people have a native language which is not internationally known (ethnic language). Which one would be their native language? French, English, Spanish....? or their own ethnic language?
In short, your first language is the language you speak most, best, and fluently than the others (if you are bilingual or multi-lingual) and your native language is your mother tongue (the one you were born with). Someone can be English and speak Japanese at NATIVE LEVEL, means like a native Japanese would speak it. But Japanese is not his or her native language nor first language. So, your wife needs not to be confused about it, let alone independence or else and assume the language of her parents as her native language and First language at the same time.
Hope it helps
P.