I am 5' 3'' and my current goal is 125...however, I must admit I have sort of a secret goal of 115.
In college and for a few years beyond I was about 110-120. At the time, I thought I looked too skinny at 110 lbs, but now looking back I think maybe I didn't and I looked okay. I am small framed and have very boney ribs...it kinda freaked me out that I could see my ribs all the way around my back, but even at 150 lbs I could see my ribs in the front.
I am going to revaluate if I ever get to 125. As others mentioned, I don't want to avoid food with friends and wine and all that, so 115 might not be feasible for me and how I want to live my life - on college I was poor, busy and stressed out and certainly didn't always eat regularly nor was I tempted by foods and functions like I am now.