Itchy, itchy goat

My milking goat is madly itchy. She is rubbing herself on anything and everything (me included) in an attempt to get relief. I have looked carefully for the most obvious suspect, ie lice, but no sign whatsoever, so now I'm wondering whether she has either sunburned skin, or, problems with mosquitoes and or sand-flies.
What can I do to relieve her itching? We have limited water, so washing her is probably not an option. She hates water anyway.

Some of our goats, of the large uddered variety, appear to be getting their udders sunburnt. The udder lies beside the goat! We keep cream on the two girls with the largest problem. How long is it since she kidded - lots of hormonal things go on!

Could she also still be shedding? Makes goats VERY itchy. Ring worm fungus coming on? Is there any evidence of dry, flaky skin?

If you can brush some sulphur powder (any equine supply place will carry this) through her coat daily, it can soothe the itching, and if there are any no-see-ums, this will also repel them. If her skin is dry/flaky, that's often caused by cobalt deficiency, especially in white goats. You can add yeast to the daily feed, about 1 dsp per day to help keep this up. For dry skin/coat, whole linseed, 1 dsp/day as well. Whole linseed keeps longer than flaked linseed. Once it's crushed, it goes rancid quite quickly.

photosensitising plants can also cause skin irritation/itchiness. Many are coming into seed now and that is when they can be the most irritant.

Oh, very good point, CV - had completely forgot about that! Maybe a list of the plants which cause grief wouldn't go amiss?

beefmagazine.com/mag/beef_photosensitivity

probably the more common ones we see here in NZ are from the likes of storksbill, shepherds purse, and plants from the brassica/mustard family

but then there is a huge list of others...and also the fungi/mycotoxins and drugs that do it too - tetracylcline antibiotics etc