
As much as you are not going to like it (neither will she), you must get her on a milking stand or something like that to milk her. The others are right; she may just be plugged and the little buck can't get the plug out. Use a helper and have the helper hold up a front leg, bent at the knee so you don't hurt her, while you milk - they can't jump or buck on three legs so she'll eventually calm down. If that doesn't work have your helper hold her two back legs up in the air so she can't jump at all and get some milk out.
Are you new to milking? If so, you should go to www.fiascofarm.com and read about how to milk a goat. Also check out www.backyardherds.com and go to the goat section. There's tons of information and help there too.
You should get colostrum into that buck as soon as you can - if you have a friend with frozen goat milk (preferably milk that was taken within the first 2 weeks of kidding) that is the best substitute, followed by cow milk (milked from cow), then store bought whole cow milk with colostrum. It's really important that he gets the colostrum at such a young age.
If he still doesn't nurse from her after you try to milk her out, switch to being a bottle baby - preferably by using mom's milk, and feed him every 3-4 hours - you can google how much he should be having and how often at this age. I'm not too familiar with bottle feeding so I'm sorry I can't help more there.
You should also give mom and the buckling a shot of B complex or B12 to stimulate their appetites. Mom should get about 6cc and the kid 2cc. It wouldn't hurt to either drench mom with a Probios mix (you mix a powder with water according to the directions and use a syringe to put it down her throat as you would with dewormer) or top dress mom's grain with Probios. Both of these are inexpensive ($5-$10 each) and can be purchased at your feed store.
Just because her previous owner never got close to her doesn't mean that you can't. I have a doe who does not liked to be touched unless she wants to be touched, yet when it comes time to milking and hoof trimming/shots/etc. she know's I'm the boss goat and she has to do what I say. Try buttering her up with treats like raisins or bread (in small amounts). Work with her often (as well as that little buckling!) and she'll learn to trust you. To get my doe to be milked I only feed her grain at milking time and mix in raisins and a little sweet feed to keep her occupied.
Good luck!!
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