I have tried brand after brand, anything we can find, and honestly I don't even care about the cost. I have tried everything that every department store offers. Thank God I have found these and they are reasonably priced. They have no elastic at the waist - it's just a color band - they feel like a stretchy microfiber material all over. I love that they have a bigger leg opening. It totally covers her bum, but there's room for her whole thigh, which is muscular for such a little girl, and a place very hard to fit for her.
Other information, former undies history: We have gone through two years and many of Feathers Girls Butterfly Print Snug Fit Tagless Briefs Underwear - 100% Cotton Super Soft Panties Butterfly 2 but they have a sizing gap that is now too significant for my daughter - she's been wearing a size 8 (the underwear is printed with an 8 and only in even sizes even though sizing chart for those says "small, 7-8.") However the 10-12 is ridiculously too big. So, daily, I take them and stretch the living heck out of them in every direction, and then she does all kinds of squats complaining about them. So, thus, the search to the new brand...
I will post if there is an update after these have been laundered a bit. The size small (7-8) out of the package is roomy, so I'm hoping with very small shrinkage it will be perfect for her.