I definitely noticed some horses pay more attention to certain people than they do with others- could be she looks familar to him or just the body language- a studs picks up on it fast.
I can be standing on the fenceline with a few people looking at horses and there will always be one that comes to see me and wont pay any mind to the others-- because theyre trying to get the horses attention and ill ignore the horse- makes them curious.. that's one of my ways of catching a stubborn horse too, lol. Give attention to all the others and ignore the one- theyll be eat up with jealousy and have to come see me. 'natural horsemanship' right?
I do think the girl just wants the majestic connection with the stud like in the fairytales.. when I was younger I loved those kinds of horse books- maybe a book or movie inspired her?
Recognizing-- they definitely remember people other animals and horses- not just voice and seeing them but smell too- sounds funny but its true.. I used to try to trick horses by wearing a hoodie and covering my face-- they smell me every time-- I think its more than just one thing its a mix of things that says its who you are to them.