I have checked the Babylock site and if your machine is similar to the Denim Pro or design Pro with the winder on the top and it will not wind bobbins, these are the most common problems.
The winder rubber has worn down on one side causing a flat spot which means at that at a given point the rubber does not touch the balance wheel to turn.
The winder does not turn at all which means it is probably seized due to lack of oil, if this is the case I would suggest a few drops of WD40 and let it run down the top of the winder spindle, see if the actual winder turns by hand, if you cannot possible turn the winder by hand then it is seized well and truly and you will either need to take the top or back off the machine to get to it, or, very carefully you can put a drill on top of the spindle at a slow speed after putting a few drops of oil on it and free it off, let me know how you get on.
Ken
drivewithken@blueyonder.co.uk
Ken Dourof, April 2007