She came home angry
Here angry is an predicate-adjective-clause that describes the direct subject namely "She".
She came home angrily
Angrily is the attributive-adverb clause that attaches to the the "came home".
If you want to kind of visualize it associations are:
(she came home)(angry)
(she)(came home angrily)
If we were to use modern predicate grammar, the former would be:
Whereas the later would be expressed as:
Hope that clarifies.
P.S.: I just noticed that, if spoken left to right, ignoring parentheses, it seems that predicate grammar expressions sound like Yoda.