If the baby has a humid hide (or if its real little, being misted lightly), then let nature take its course. They know what to do, trust me! 
Messing with the shed, especially on a baby or young leo, can seriously damage the gecko, no matter how gentle we think we're being. Let it try to remove the shed for at least a day on its own...then if there are still problems, re-think your husbandry and soften the shed areas for her. Please don't pull it off her feet, head, etc. yourself because you can break a leg, lose a toe, hurt an eye, etc.
If the shed is still on the feet a day or two later, use a moist q-tip with some of the shed aid on it to apply to the baby's problem areas.
I'm sure your shed-aid will be fine if watered down slightly. Although I'd be kind of hesitant to spray the leos. Try putting it on by hand...maybe its ok full-strength? What's in it?
I know how you feel. I've had moments of worry with my little guys of all species but if they are healthy and are able to chill in their humid hides to soften the skin, they will be just fine. I had a little bandie with shed stuck near his eye that freaked me out....but when I came back to check, he'd licked it off with his tongue!
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Too many Leos
1.0 feline "Spot"
0.1 canine "Tika"