Missed Base - Homerun

[UmpBill]

This actually happened in a state high school softball tournament game, but I am interested in how it would be ruled in baseball, both OBR and Fed.

The batter hit a homerun out of the park but, in her exuberance, missed both second and third bases. She stopped just before she touched home and ran across the pitcher's area to touch second. She then proceeded to touch third and home. Are there any appeals available for the defense whereby she would be called out?

Change the scenario to say that she missed second but did not miss third. She again stopped just before she touched home and ran across the pitcher's area to touch second. She then proceeded to touch third and home. Does the answer change?

Again, please answer for both ORB and Fed. Thanks!!!