All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah and that Muhammad is His slave and Messenger.
If you used moist wipes to clean the impurity from the baby's skin, then this moisture itself becomes impure. Then if you use a cloth afterward to wipe such impure moisture, the cloth becomes impure as well upon coming in contact with the moisture.
Allaah knows best.