Initially, I was thinking that you should not bail her out of this one and put her name on any gifts. But, I went back and re-read your thread to make sure where things stand.
No matter if you put her name on things or not. She will know that she didn't do anything. Eventually, when your kids are older they will figure things out too. They will appreciate the fact that you cared enough about them to do it. Because in the end, this one is really about your kids not your W.
So, talk it over with your W so your on the same page. Then decide what feels right to you. You've had really good instincts so far.