Spoken after reading the raws, she's actually a true prodigy in that world. Her field of study has reached post-graduate/researcher level and each of her completed studies are confirmed to be minimum middle or high school, with the absolute basics being hammered into people until then. It would appear that people just don't know about her; her father doesn't actually seem to have any real idea what she's doing, while her mother does but isn't too concerned about it. Her father's the one that's a braggart so it's not spreading in a concrete fashion since he's the only outlet, and it could be considered just him doting.
The original name for the horse is Umatarou. Uma (horse) + tarou (one of, if not the most generic ending for a male name). I was somewhat surprised to see it localized but it does make sense.