I just purchased a fresh ironing board cover, put it over the old one but I should put in a better padding.
As far as the pre-quilted fabric goes, Alice, I'd do some tests first on whether it is a poly backing and how that holds up. I use a really hot iron and polys tend to get crisp or otherwise deteriorate on me. Last ironing board cover had a really thin foam and that started disintegrated and leaving little shreds under the ironing board. An old towel or piece of warm & natural type batting is what I will eventually get around to putting under the new pad.