Some years they just have a partial moult, the neck area is quite common for this. Other years it can be an out and out, all over, scary, baldness or just a light all over moult, where they just look scruffy and you don't see any noticeable bald patches.
The fact that she is lying around is concerning and I think you need to check her crop and vent. Some hens lay soft shelled or shell less eggs as their cycle comes to an end and they start to moult because their body is becoming depleted of calcium. These are very difficult to expel and may take a couple of days of being egg bound and spasming to get them out, which is very tiring for the bird. Some extra calcium in the form of a liquid supplement or even a Tums tablet crushed onto a favourite treat might help and a warm Epsom salts bath soak or two, to help relax her and perhaps a little lubrication of her vent with KY jelly or equivalent.
Again the scratch you have given them will dilute their intake of calcium, so this may also have aggravated the situation.... How much scratch have you been giving them?