Hmm I'm not sure what you mean by a mother's morning out
for your three year old...but if you belong to a church there are many active programs. I think the Presbyterians tend to be very community active. Try there?
Also, you could try looking on www.meetup.com (broken link) for some Mom groups. I know there is one in Greensboro and there's another basedin W-Salem. I think the W-S one has more stuff to do, but it's really more about who you meet and click with.
My daughter is 3 now and really should be going to some kind of preschool (I thought Kindergarten started at age 5), so if you have recommendations on that part, I'm all ears!!!
~ Angie