Your first instinct is correct.
The proper use of "I" and "me" is very often confused in (American Culture) English.
I can still recall grade-school teachers emphasizing the proper use of "John and I" as opposed to "John and me" and I think this has caused us to resist (hesitate) using "me" when it is appropriate; as in, "Carry that for Mom and me".

Additionally, I am continually annoyed by the misuse of "myself"; as in, "If you have any questions contact Bill or myself"

"I am certain there is too much certainty in the world" -Michael Crichton