That's exactly what I think. It's been 36 (maybe 35, maybe 37, she can't remember) years. She apparently never told anyone, it has apparently not hindered her professional or personal development (even if it really did happen), no one she says was there confirms it, her best friend knew nothing of it, she claims one person can confirm it, but she won't give their name.
Statute of Limitations exist for very good reasons. The brain is an amazing thing. You don't actually remember everything that happens in your life. Your brain can catalogue bullet points, then when you try to retell an old story your brain pulls up those bullet points and fleshes out the details. The problem is that those details may, or more likely, may not be accurate.
Go talk to a bunch of friends you had in high school about something that happened when you were all together. Have everyone write down exactly how they remember it happening, who was there, who drove to the place, etc. You will get the same basic main points but the detail will be all over the board. Some people won't remember some of the others being there, others will put people there that weren't. You'll disagree on who did what, but almost everyone will be sure their recollection is correct.
If you don't bring the accusation within a reasonable time frame, or if it falls beyond the statute of limitations, keep your mouth shut and go on with your life.