Hm. The kobold moves back into range; that does seem to work better, even if moving in and out of it all the time is a bit of a pain. Well, she'll cope.

She doesn't need to be in the place the spell aims at when she casts, but she does need to be familiar with it, or the enspelled object has to be brought to the place and activated there. Otherwise, that's right - the enspelled object can be taken anyplace and will always teleport things to the same location.