Also, when someone is cheating they try to blame things on the person they are cheating on.
Your wife may never be happy with anyone. It’s hard on the person who was willing to love and care when the partner is not committed and takes things out on the one who doesn’t deserve it. It hurts too be in the position you describe. And when there are children you can’t just walk away and abandon them. Children don’t understand this and tend to think they are not loved.