I can't read all these stories without remembering what happened to me one day - this would be in the late '70s, so I must admit some of the details are hazy, but I know EXACTLY where it happened and still have the picture in my mind:
I was riding by myself (as usual) one day in the woods near my home in northern NH and a fawn came running up to me - so young it still had spots. It didn't just happen by, it was running straight at me, and all I could think (and still do) was that it thought my horse was its mommy! It really seemed to have that "oh, there you are, at last I've found you" body language.
Especially since, when it got close enough to really see us, it put on the brakes, stared a moment, then turned and high-tailed it out of there!!
Every time I think back to that (and I still occasionally do) I end with the thought that I HOPE it found its mother, that they didn't get separated for good just because this fawn didn't do as it was told and stay put.
I did have one other fawn encounter. In 1997 or so I had my horse (same horse, my one and only, who I got in 1975 age 7 and put down in 1998 age 31) in Dutchess County NY and was riding with a couple others when I came upon a younger fawn nestled in the high grass, obviously left there by Mom as she went off to do her thing (as deer do). Very cute. But not as memorable as the first.