That would be -interesting-.
The Edward Michael Irwin she's referring to is actually long dead. As in Pre-Apocalypse dead.
He was the client who originally ordered her, shortly before the Big Oops. She was completed, but things went bad before she was activated and put through conditioning and anything more complex than very basic pre-programming.
Part of that pre-programming though was knowing who her owner was.
So she has a compulsion to ask about him, even though rationally she's fully aware the guy's dead.
If you knew of someone by that name, she'd probably feel like she was obliged to go find him and verify that he's not the guy.
Which might be entertaining.
It wouldn't be like she goes into 'robot mode' and lurches away with her hands out in front of her. It'd be like a little conscience type tickle...an instinctive desire that she can choose to act on or not.