I'm no expert in these things, but I'd let Ms. Dumpty sit on my wall any day of the week.
However, for matters such as these I feel like we do need to ask the experts.
Shredder, would you: 1. Hit, and if so, 2. With how much gusto and/or enthusiasm?
TCBY, could you give us an analysis of what you'd do to Ms Dumpty, preferably in a "first I'd... then I'd..." format? My guess is that by the time you were done with her all the kings horses and men would not be able to put her back together again.