If the original spider had gone through something like this that caused his wobble, then the rest of the spiders would not wobble. You can't inherit something that happened to one of your parents. That's like saying if a person has some sort of accident and loses a finger, than all their children, grandchildren, etc. will all have a missing finger.
In the article entitled "Will They Come in out of the Cold? Observations of Large Constrictors in Cool and Cold Conditions," David Barker talks about something called Cold Shock Syndrome or CSS. I would guess this is what is affecting your snake.
Here is a link to the article:When warmed to temperatures where activity is possible, snakes suffering CSS will not be able to move in a coordinated manner. They may exhibit what appear to be violent seizures if disturbed or handled. Snakes with this condition may die within 48 hours of being warmed; if they survive past that period of time, they likely will recover, but full recovery to normal coordinated movement can take more than a year.
http://www.usark.org/uploads/ComeOutOfCold_BCHS.pdf