Hi Sarah, and welcome to Cat Forum.
I do agree that kitten #2 is more reactive and frightened and unsure of its' new surroundings, but if the behavior persists for more than a few days, you may need to "take steps". Sometimes, we need to help kittens learn that it is *okay* to be handled by people. They need to learn we are trustworthy, won't hurt it and can bring (food
) or do (petting
) good things for it.
To begin with, I would bring a lot of "good things" to the kittens, like canned food to encourage them to eat near you so you can try to gently pet/stroke them as they eat. It may be that is all that is needed to break down that barrier Moxy has hastily put up. If the behavior persists, then we can look at other handling techniques.
There are different techniques and methods for handling various situations one may encounter with feral cats. Overall, all of these links advocate working slowly and steadily with the cats, creating opportunities for the cat to learn and trust. Building on the good experiences and working hard to not create any bad experiences that would set the cat back in its' forward progress towards taming and socialization.
Some techniques I have learned and had great success with...however most of my tips are for feral, semi-feral and poorly socialized cats. The general theme can still be useful when getting cats/kittens used to handling, but you don't have to be as intense with kittens as you need to be with adult cats.
I would also trust any/all articles found at LittleBigCat and MuttCats websites.