Maybe it was a joke that someone used back when she started the job 50 years ago. I could see it being a metaphor for something like the stone tablets that ancient texts were written on…or if she started more recently than that (or the company adopted computers by then), it could refer to information that wasn’t digital.
Yeah, I think it’s the really the Gambler’s Fallacy, even if OP doesn’t describe gambling. It’s the idea of “It’s my turn for success to come soon – I’m due for my turn!”