My wife is being brought up on charges for statutory rape I am sure she will be convicted it was a mistake while we were separated she did not check how old the kid was he was 15 if comvicted can she come home to live with me and my two children

That will depend on the level of sex offender and the terms of her parole/probation/sentence. Also on local laws. No way we can answer that.

I presume your wife has an attorney representing her. This is something you should talk about with the attorney.