I'll just start with an example sentence: The highlighted clause is an example of a clause used to modify the subject ("Runt"). In this configuration I believe it would be called an "introductory clause". But what would it be called in this, also [mostly] correct, formation: (I realize it is actually a dangling modifier, because 'her' could point to either Connie or Runt, but I'm working with a line from a classmate's story and I'm attempting to preserve the structure here). Would it be called an 'exital clause' or something like that? The author is using this formation quite often and I'd love to be able to tell them what it is called.