Janee I was thinking the exact thing applique a few random things all over the quilt. Some flowers or etc.
I used google and came up with some sites check them out maybe you can find your solution:
http://www.google.com/search?hl=en&rlz=1T4GGIC_enUS259US263&sa=X&oi=spell&resnum=0&ct=result&cd=1&q=how+to+get+burn+marks+out+of+fabric&spell=1