Is it forbidden for a wife to celebrate Eid away from her husband during the two Eids?

The holiday period does not obligate or prohibit anything for spouses that was not already obligatory or permissible before. It is permissible for spouses to remain together or for one to separate from the other throughout the year, with the exception of certain cases not related to the Eid. It is not permissible for a wife to leave the house without her husband's permission, except out of necessity.