I know Tarkin pronounced it "Lee-uh", but I'm trying to think if anyone else called her by name or referred to her by name in A New Hope. I'm pretty sure a Rebel commander referred to her when going over the plans to attack the Death Star, but I can't recall for sure how he pronounced it. Throughout that first Star Wars film, she got a lot of "Princess", "Your Highness", and "Your Worshipfullness", etc., but did anyone call her or refer to her as [Princess] "Lay-uh"?
The Wook
The Wook