To do a running braid, start with about a 2 inch section of mane immediately following the bridle path. Start braiding. Once you have one "link" of braid in, add a small section of the still loose mane into the next "over" twist. Add a chunk with each new link of braid. When you get to the end, finish off the braid normally and tie it off with a rubber band. Do this the morning of the show, and don't let your mare put her head down, the braid will pull loose. Sorry if that's hard to follow. I use Susan Harris' book Grooming To Win. It has way better explanations and excellent illustrations. The button braid is a little knot-looking thing. You see them on hunters, mostly. Basically, braid her forelock normally, then roll it up like a pinwheel and sew it in (also in Ms. Harris' book). You can do these on her neck, too, but unless you want to cut her mane, it's too long.
A stubborn horse walks behind you, an impatient one in front of you, but a noble companion walks beside you ~ Unknown