Attention Sheep People-Darling, but what is she?

I am vegetarian, and always complain about how I hate the sale barn, and how you should never buy animals there, and its pure abuse and such. Well, I haven't went for 2 years, but my friends were going to buy calves, so I figured I would go too. Well we walked down to the holding pens, and OMG, there were the CUTEST little lambs in the world!! Since they were spotted, I automatically thought Jacob. Well, there was a ewe and a ram, and we purchased the ewe lamb for a mere $25. She has a little bit of a runny nose, and a little cough, but is eating fine. But now I know why I hate sale barns. Because people are a bunch of idiots and take newborn lambs fro their moms and sell them. She, who we have named Imogen [the European name I love and everyone else hates], is TINY. She is maybe 2/3 the size, at the most, as my 7 pound newborn Alpine goat babies. But she has rather large teeth [not like adult teeth, but very large compareds to a newborn], her hooves are already slightly long [like not like a newborns], and is happily munching on a little hay! But she ways like 5 pounds! That is weird. My 5-6 week old Alpines are hardly eating hay. She is a little depressed because of a tramatic day, but is doing pretty well. But, she isn't a Jacob. Her legs are all black, and Jacob's are ALWAYS white. And, from what I can tell, she is a hair sheep, not a wool sheep. Her coat is like goat hair, but slightly coarser and a little crimped. I know she isn't a goat because she looks like a sheep otherwise, and has a tail, which I will remove. Her face and legs are feminine looking. She is the cutest thing in the world, but what is she? And should I worry about her cough and runny nose? Her poop is normal but part of it is whiteish, not worms, and just like a parts it are somewhat white. will she be okay? Thanks!
Ashlyn