She may be producing way too much milk for those two kids? Have you tried milking her once a day and let 'the boys' have the rest? Even though you say you don't need the milk, a dairy animal does need to get rid of her milk, otherwise you run a huge risk of mastitis. Normally a cow/goat will adjust her production somewhat according to what you ask of her. For example: do you feed for high production or low production, but also, do you milk her out completely every milking: if not, she will lower her production eventually. Still, if she genetically is a high producer, she may not be able to bring her production down resulting in problems. I have does that freshen and give me half a gallon of Colostrum right upon kidding: never had kids that could drink all of that, so I milk a little (freeze it for emergencies) and leave the rest to the kiddos (if I leave them with the doe). These same does are going on increasing their production and a doe peaking at over a gallon of milk a day, will just over produce for a few kids, and therefore can run into trouble.
Normally a cow/goat with edema should get rid of that after a few good milkings and (if needed) some dexamethasone, so I'd be worried if the edema is still there 6 wks into her lactation.
Marion Venema, East Leroy, MI
Saanen, LaMancha, Nubians