if its durable cotton.... oxy clean will do wonders!
just try a little oxy at first to make sure the lace can handle it..... But I've had no problem with oxy even on rayon (minor shrinkage of course) I use particularly on chiffon and lace accented dresses because you don't need to agitate or scrub at it for it to work through the material.....
but be warned I have had one instance where it ate through a chiffon dress at the dirtiest spots, but I think it was a rust stain and the fabric was already shot.
Just dont pull at or put weight on the lace (no drip dry) while its really wet and heavy.
And one final warning, many do not like oxy due to disasters, many love it due to miracle cleaning. If the piece is way better clean and you can deal with a potential loss go for it!
