You are correct Jonartdesigns!
She does have a braid through "popular" but Glinda takes it out for "how to fix your hair"
and then the rest of act one its slightly wavy, long, mostly straight. It's a bit more styled in act 2..and when you see her in Kiamo Ko (Fiyero's castle..where dorthey is)("for good") she has it pulled back, wrapped around her head. then for the "surprise" at the end it's down again :)
I just saw it again last night..so...
and all that I could do because of you was talk of love...