Thank you so much for your fast response. I even did not see your answer at first, only saw your question in red.
Thanks a lot for your advise. Is possible the CBP officer send her back?
-Everything is possible even if your H1 status is still valid. But in my personal judgement, this possibility is small. Also, the H1 and green card application are different cases and your H1 in USCIS system may be still valid at this point though it is techncially inalid. I have seen in some cases that a person's I-485 is approved first, and then his H1 extension is still approved later. So, the CBP officer may not find out your green card was approved. Thus, your kid just use the H4 visa to come back as aoon as possible. If the CBP find it out, your kid may just ask the officer to issue a B2 I-94 (status) to let her in.
After your child enters US, file the I-485 immediately.
I do not know if I should explain this much to my daughter in advacne since I do not want to her worry to much...