Chris Cox just had an excellent episode on RFD-TV a week or two ago about catching a hard-to-catch horse.
As someone else already said, bring in the other 3 horses to a smaller corral. She should follow. Then one by one, let the other horses back out into the pasture. Tah-dah! She's in a smaller pen that you can work with.
Rather than making her run with no rhythm or reason, what you are doing when you force her to move her feet is that you want her EYES to look at you. The very instant she looks at you, stop chasing her and let her look at you. If she looks away, then make her move again until she looks at you.
You should never stand facing the horse with your shoulders square to her. This is confrontational. You should always angle your shoulders one way or the other so they aren't directly pointing squarely at her.
Also, when you get to the point where you can attempt to approach her, don't try to sneak up to her, but also don't stomp your way to her. Just walk normal and relaxed, as you normally would. (Remember to never square your shoulders to her.) But please note it may be a long time before you attempt to approach her. You always want her to approach YOU first, which you will accomplish if you keep demanding she keeps her eyes on you.
If she does eventually approach you, turn your back and walk away. The more you make her think you do not want to catch her, the more she is going to WANT you to catch her. Trying to quickly grab her or quickly yank on the halter is going to do more harm than good. WHen you finally get to the point where you halter her, she shouldn't move a step away from you. If she does, go back to making her move her feet until she keeps her eye on you.