What would I use to remove super glue off of a child's skin?

Acetone... ...Works best. It's the main ingredient in nail polish remover (except for the acetone-free kind, of course).
Cyanoacrylate glue. To remove cyanoacrylate glue- soak effected fingers in nail polish remover containing acetone for several minutes. As bonds loosen, gently roll fingers back & forth. Don’t do this vigorously. Don’t pull fingers apart – it tears skin. Don’t handle the glue with cotton products as it can cause a chemical reaction that can damage skin. After glue is removed, wash with soap & water. Good luck.