I have no idea if any of this would work with such a small hedgehog, I'm just throwing ideas out here in case they help. The one time I had babies, I had to bottle feed one of them, but I used a small curved type eye dropper to accomplish the feat, which won't help you with dosing medication. However, I think my girl was an older baby than yours are when I had to start supplement feeding her.
You may want to look at a different syringe. If they gave you a standard 1cc oral the tip may be a bit large for her mouth. They do make some that have more of a pippet tip. If you have trouble getting the syringe in her mouth, ask doc if he has anything smaller that may fit.
Anyone know if an injection syringe would work better for a tiny mouth? I was once shipped the wrong syringes (injection 10cc instead of oral 10cc) and the tips on them were very small compared to the oral syringes. But they were also 10cc syringes and not 1cc.
I am continuing to keep her in my thoughts and keep checking this thread.