Well, it didn't go as well as she would have liked, but I'm proud of her nonetheless.
We rode about 2.5 miles together before the heat got to her. I gave her my cell phone and I zipped home and got the car and went back for her. She's resting now, and apologizing for being a wuss. I keep telling her that she did very well for someone who hasn't ridden a bike in about 10 years. We kept the speed low -- I let her set the pace. The biggest problem she had was with the toeclips.
We also determined some changes we need to make to the bike to make it better for her. I need to replace the flat bar with a riser bar, and the Ultegra toeclip pedals with platforms. I'm also going to look through my parts graveyard to see if I can get a wider range cassette for her. It's 1989-vintage Ultegra 7-speed, so it shouldn't be that big of an issue to build a cassette out of the parts I (hopefully) have.
Even though the heat got to her, she still wants to ride again, which is a good sign. I'll update our progress as it develops. Thanks for the support.