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This is a Monkey Snuggles brand fitted diaper from Etsy. http://www.etsy.com/shop/MonkeySnuggles
As you can see, this would retail for about $25.
The front of the tabs have female snap ends, as well, so they can fold over each other to fit a newborn.
I got this as a second, but the website shows that this is what type of material she likes to use.
outer layer- cotton woven
middle layer - thick organic bamboo/cotton fleece
inner layer - organic bamboo/cotton velour
Also, comes with a microfiber (or same material) snap-in insert that has a monkey snuggles tag.