Poor Chardy has mastitis in one of her teats! One side of her udder has been milked bone-dry by her babies, and the other side is so full that the skin is stretched and shiny and her right teat looks like an Oscar Meyer wiener. (Don't say I never paint you glorious pictures with my words!)
Between googling and consulting my goat books, it sounds like there are two ways to go - the "natural" way and the "western medicine" way. The things that they both have in common is that you massage and "milk out" the infected teat (discarding the milk), then thoroughly clean the udder and teat and apply an udder cream and massage in well, followed by an application of teat-dip or anti-bacterial spray. The natural method also recommends applying a heat pack. The more medically invasive method suggests giving either intramuscular antibiotics (which Chardy just finished a course of) and/or injecting medicine directly into the teat orifice itself.
I'm going to start with the natural method in the hopes of avoiding having to give poor Chardy any more shots. Trying to give intramuscular injections to a rail-thin goat is hard on everybody involved, so we're going to do all that we can to avoid traumatizing or potentially over-medicating her further, but if I feel like she's getting any worse or simply doesn't start improving very soon, I won't hesitate to treat her with whatever antibiotics it takes to rid her of this infection.
And now I get to go milk a reluctant, under-the-weather doe, while dodging cranky kicks. What a way to spend a cold and windy evening!