I think you would enjoy the Parelli 'Liberty' DVD from the Success Series. It answers all your questions in there. Liberty is so much fun! The foundation to the horse WANTING to be with you is the most important thing....if the horse doesn't want to be with you, you aren't going to get Liberty.....or good quality Liberty I should say.
I like the saying, "Online is for teaching, Liberty is for testing." Teach something online, then test that strength of understanding and bond at Liberty :) The only thing left when you take the halter off is the truth!
Ooooo I have the same problem you have! Except that's jsut the way my mare is, I have done evrything with her, and when I say everything, I mean EVERYTHING! Haha she joins up with me for a long time, then she will decide she's done and just go her own way, usually coming back to me after a really good gallop!
Yes, I'll try now to do all the stuff once again (I just start again with working from the ground with her (hope you understand waht I mean))
And than I'll try to do it all with as less rope as possible.
I think there are good chances that it works.
You'll help me if I have more questions won't you? =)
My horses just kind of pick up liberty work. Whenever you're around them, just ask for things without using the rope first. Pretend that there isn't a rope there for your initial request, and then back up your request with the rope. Soon, the horse will respond before you have a need to use the rope at all. The test comes when you take the rope away and you don't have that safety net anymore.
I don't usually set out to practice working without a line. If I do anything like that, it's on a sheer whim, like I'll be practicing showmanship and just take the lead off and see if my horse can still do the pattern without me touching him. Or, when I dismount after a ride I'll leave the reins looped over his neck and let him follow me. It doesn't look like much, we don't do anything too dramatic, at least not yet with Scout. My first horse could do NH lunging in a fairly open area without a line, but that was after a few years of just doing "normal" things with leads and lines.
IMHO, things like liberty and tackless work are just a function of good training, no matter what the label. I know some old trailbusters who have never heard of Pat Parelli or join up who's horses could be ridden bridleless and would work without a lead rope.