Change in name from maiden to married in passport requires change in H4?

[Harishkotha]

Hello,

My wife came to USA on H4 with her maiden name in passport and H4. I am planning to change her surname to mine in passport. Her H4 visa is expired but she has active H4 petition now. Does her petition needs to be changed for change in name? Please confirm.
Also do we need to change the name in ITIN as well? Please help.