megintn:

The best way to make it quickly is to do a short decoction. That means just simmer it in water for 2-3 mins., turn the flame off, cover and let steep for 15-30 mins. The concentration will be determined by the ratio of water to root. You shouldn't need it too strong for a goat. It's better to give small amounts several times rather than one large amount all at once.

Hope this helps.

Charlie in Arizona
The Herbalist

Here is a link that might be useful: Herbal Nutrition & Science Course

The fastest way to make a tincture is by the percolation method, a few hours.....numerous online sites detail how to do it. Echinacea is very good, perhaps even better, as a tea. Tincture however has the advantages of convenience, can use a low volume dose, and bypasses the GI tract and therefore being directly absorbed into the bloodstream. A good tincture formula for sick children ailing from most anything is a tincture made of equal parts echinacea, chamomile, linden flower, hawthorn berry, lemon balm and california poppy.