The spider wobble is a neurological disorder, not a weak neck. Some sort of balance issue perhaps. All spiders have the possibility of showing wobble, and even if they wobble or seem to almost never wobble, they can throw baby spiders that may or may not wobble to various degrees.
To the OP, GREAT pickup she's a beauty!!! Double check the sex though before you think about breeding her, I always doubt that CL finds are sexed correctly, though if you got her from the breeder then it's pretty likely she really is a she.