A "cool washcloth" refers to a small towel or cloth that has been soaked in cold water and can be used to put on your face or body to feel refreshed and cool. Full definition
I was shocked and terrified, but the midwife cared for me by putting cool washcloths on my face and neck and keeping the room peaceful. (sortacrunchy.net)
My husband, being the awesome birth coach that he is, kept me covered in cool washcloths and reminded me that I was strong enough to do this and that our son was almost here. (attachmentparenting.org)
Ways I kept Mason awake as a newborn: cool washcloth on forehead or face, rubbing the back of the ear towards the jaw (triggers sucking reflex), undress him down to diapers, switch breasts and burp him.» (tyckledtales.com)