So it looks like ironing is needed if I use cotton. Well, grosgrain is an option and will check on the webbing. I used a twill type webbing on aprons long ago and was not happy with those after the wash, either. Fussy, fussy person here. But these are gifts and won't be used if ironing is involved. Or do I make them just for the cuteness? Sigh...should have resisted buying the pattern, I guess. Thanks for the answers...I'll share what I decide.