Update: Looks like you guys were right, ANA did NOT honor the request. My mom just landed in LAS and called me to say she had to pay the $70. She said ANA staff told her this was a common problem with United Elites expecting their 2nd/3rd bags to be free. ANA said their contract with United only allows 1 bag free, period.

I called the Premier Line and they were unable to help me. The lady was unsure why the person I called a few weeks said that she put in a note to get it waived at ANA. She suggested I use the Contact Us to send my feedback.

I understand that the $70 is ANA's policy, and I have no problem with that. My problem was that I specifically asked UA Premier if I could get the 2nd bag waived for my mom, and was assured that they put in a note to take care of it on ANA's end.

Sent my feedback online, I guess the best I can hope for is some travel credit or miles?