There are really no home treatment for ingrown eyelashes. You don't have the tools, and one slip and you are blind.
You need to either see an electrologist with previous experience in this area (and really great vision equipment) or you need to see an eye doctor who can at least release the hair, if not remove it.
Ingrown eyelashes are very serious, as they can lead to everything from irritation to retina damage, and even blindness.