* Aunt May - This is a noun phrase (a group of words acting as a noun). It tells us who the subject of the sentence is.
* chirped - This is a verb. It describes the action Aunt May took.
* when - This is a subordinating conjunction. It connects the main clause ("Aunt May chirped") to a dependent clause ("when she met girls at the door").
* she - This is a pronoun (specifically, a subject pronoun) that refers back to Aunt May.
* met - This is a verb. It describes the action Aunt May took in the dependent clause.
* girls - This is a noun. It tells us who Aunt May met.
* at - This is a preposition. It shows the relationship between "met" and "door".
* door - This is a noun. It tells us where Aunt May met the girls.
Therefore, the main part of speech in this sentence is the verb "chirped".