|MadSci Network: Engineering|
Hello, James! First, apologies. Something seems to have gone wrong with our queue, so your quesstion was left unattended. Yes, fire-resistant cloth does exist. One type is made from inorganic (no carbon) glass fibers and other (more common) types from tough polymers such as Nomex, which is often used to make the protective suits (aka bunker gear) that firemen wear, and Kevlar.
Try the links in the MadSci Library for more information on Engineering.