It is the purposefully walking towards her that is driving her off. If you don't want her learning to leave you, then don't train her to leave you.

I certainly read the Monty Roberts book and others that advocate the sending horses away until they magically come back method. That doesn't work for all horses.

If this one was primarily a Broodie, chances are that she has spent her life being herded around into an area where she could be cornered and caught. Or bribed and caught. If she isnt very well halter trained she was probably also manhandled as many ponies are just because they are small.

Change her expectations about how people are going to interact with her in the future. Not just with bribery either, that doesn't hold up.

Find something that interests her. If there is a bully horse, you move that horse off. Find her itchy places. Lead her to some place she is interested in going, just something to make you worth seeking out (in her mind). Change the pattern so she starts coming to you and enjoying people.

Do not expect her to change if you are doing the same things repeatedly, experiment, be creative. Really, if you have to walk funny to get her attention go right ahead, sometimes something entirely different will inspire a horse's curiosity.

She needs to be really solid in the enjoying people department if she is going to be toting kids around someday.

"It's really quite amazing what a horse will do for you, if he only understands what you want. 
And it it's also quite amazing what a horse will do to you if he doesn't." ~ Bill Dorrance