as a person who is old enough to remember cloth diapers.. i remember they weren't-- they were Diaper cloth -- used to wrap up a babies behind!

diaper cloth could be purchased by the yard, cut and hemmed, and used, but by the late 1950's most women were buying ready made "diaper cloths" Fabric already cut to size, and hemmed. they made diapers out of the these diaper cloths!

diaper cloth is a textured weave, (birds eye was one popular weave, waffle another--my mother preferred birds eye) of soft cotton. I am sure there were other textures as well. the name is total consistant with the 1st defination.. (and the bit in red)

Birds eye weave seemed to be a series of nesting boxes.. it was squares, created by the cross threads.. not really circle or any roundness.