Neighbor's dog...

My nextdoor neighbor's dog was looking out their livingroom window (which is directly across from my front door). When I left my house to go out he started barking. My neighbor looked out the window to see what he was barking at and when she saw it was me she said "Good boy, keep barking. Now go get her." I just slammed my front door shut and walked down my stairs, but the barking and taunting continued so I yelled out "Oh shut the h3ll up!" and left. (Now in hindsight I know I should never have said anything, but I felt like I was at the end of my rope as every time she sees me leaving my house the same or similar situation occurs). I don't know as I've had other run-ins with this particular lady before, but how do I get her to just stop acting childish and just leave me alone?

Ignore her! she sounds psycho n lyke shes 2! eventually she will find her binky n sum1 else 2 pick on lol

I would be scared if I were in your shoes. She sounds aggressive.
Maybe you could call someone... ask the local police if you should be worried about this kind of behavior. (I don't know your neighborhood, so it's hard for me to judge this).
Or, you could go the angelic route, bake her some cookies, knock on her door, and try to make friends.

Well, another option is that, you can try to figure out why shes being like that towards you (but if shes like that towards everybody, thats a different story), then, after knowing the cause, you can find a proper solution for all that.

She's only like that to my mother and I and I don't personally see any reason for her to be that way towards us. And I have told my mother and fiance about it and they told me they think she is crazy and to wait and see if it continues because if it does not then just let it blow over.

Wow... she's NUTS!!!
If she's serious I think you should report her.