Lol, I did a bit of archery when I was a little kid it was awesome haha but yeah all standing still... Historical Eurasian horse people had their children training on this from as soon as possible, I remember watching some docu about present day nomads and their ritual games which were quite cool...BTW found this video quite nicely put :

About the woman and her horse, yeah I guess they've been riding together for a long time, sharing a bunch of adventures together