I heard this during a conference call.

Problem:
“Myself” is the wrong pronoun.

Explanation:
This sentence is an imperative; the speaker is asking the listener to send something to Ellen or to him. This sentence can not be reflexive; the speaker is not talking about something that he is doing for/by himself. “Myself” is a reflexive pronoun, so it’s not the correct pronoun here in this non-reflexive sentence. Instead, “me” is the correct pronoun. To confirm this, imagine the speaker asking the listener to send something only to him: “Please send that file to me.” Adding “Ellen or ” has no impact; “me” remains the correct pronoun.

Solution:
“Please send that file to Ellen or me.”