Nothing but the best will do for baby. There is a growing trend towards natural and eco friendly baby products. From cloth diapers to organic cotton clothing and more.
Cotton Babies, is an online site dedicated to a variety of baby merchandise but also has a focus on cloth diapers and natural baby accessories. One such accessory are Bamboo Baby Wipes, these wipes are made of sustainable bamboo, are highly absorbent, ultra soft, and come in light colorful colors.
I have several Bamboo items at home, mostly towels, and they are so plush and soft. For a babies face, i would think Bamboo would be an excellent fabric choice.
For more on natural baby products, visit women run Cotton Babies.