The partciciple phrase is a verb been used as an adjective, in the pgrase Enjoying is a verb that is been used as an adjective since it describes the way in which tammy was walking towards her home. Other examples of participle phrases "The sobbing child held his injured knee."
See how sobbing its been used as an adjective eventhough its a verb.
three nymphs came to help Perseus and gave him a polished bronze shield, ... Then Perseus pulled Medusa's head out and turned the evil king into stone.
