Yes badgers take lambs. Crows and ravens will peck out the eyes, tongue, umbilicus and anus of a first-born twin while the dam is off having the second one.
If you're shooting crows always go into the hide with two people, wait a few minutes then one person leaves. Fortunately crows can't count! Look around the field and you'll always see one crow on sentry duty, generally high up in a big tree. They take it in turns through the day - to both spot danger and that lambing or cast ewe already mentioned.