Ah young horses, the "games" they play. First you need to establish ground rules. At 7 months she's ready to start groun training at the lead. When interacting with her u need to establish yourself as the dominant party. It would also help to wear a helmet while she's learning ground manners as rearing is a very natural thing to a young horse. I wear a helmet on the ground always, but hey that's my opinion.
Second and before I get into the steps to help you, are you sure your qualified to work with a young horse? Young horses are not a walk in the park, and you can NEVER treat them as your "babies." because they don't understand the human/horse relationship u have to be FIRM with them. If you "play" around with a young horse you're going to get hurt. Not "if" but "when."
Your father should know this if he has experience with horses like you say, and forgive me for implying such a thing, but how can he put his ldaughter into a possibly dangerous situation if she's uncomfortable and doesn't have the ability to establish the confidence and assertiveness it takes to train a youngster?
Honestly my beat advice would be to call in a trainer, someone who has experience rearing babies. Remember young horses mature faster than people, so she'll only continue to get bigger and more dangerous the older she gets, and if you can't establish ground manners than you'll end up dealing with a powerful and dangerous horse soon.
To help yourself now, turn this horse out with your geldings. Let them do some of the work by establishing a pecking order. She may get bitten or kicked at but remember babies bounce back easy and it actually takes a lot of force to hurt them. I speak from experience 5x over, lol.
Personally I don't mix mares and geldings but In your situation it will do more help than not. Second when leading her use a firm hand and confident posture to establish yourself as the dominate party, then when leading her practice yeilding from you body. Be prepared for her to rear in your face. They all do this because they don't understand and have short attention spans. When she does (because she will) u need to stay in it safe zone at her shoulder, reprimand swiftly and immediately during or 1-2 seconds after. You can do anything, from smacking her with the lead, to kicking her under her carriage (my personal fave) to slapping or punching her hard at the shoulder. Do not however snap the lead shank at this moment in time, as doing so is considered the "nice way" of asking a horse to refocus on you and should not be made into a crutch.
Since your horse is so young training sessions must be shorter. Young horses cannot focus long and training takes a lot out of them. If you see her yawn during a lesson then finish up your last yield and put her back with the other horses. I would suggest 10 minutes at most for each session, and believe me 10 minutes a day for 4-5 days a week, is more than enough time for a young horse. Remember, you don't want to overwhelm her either.
Training babies takes an experienced hand, if I may say, you don't sound like you have the confidence or ability. I would save myself some trips to the hospital and call in a professional. No one here on horse forum wants to see you get hurt. :(
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