for what it's worth, i've got five girls who just reached POL in mid-late Nov, and they all started laying without any additional light, and are still going strong -- so light may not be necessary?
Younger hens will generally lay all winter without light. As they age, they naturally slow down, which is the way it is supposed to be. My bantam D'Anvers are the only ones who are not really winter layers but I don't expect them to be, knew about that when I got them, and don't rely on them for eating eggs anyway as they are basically just pets. All my Delawares, Orps and Rocks lay through the winter as younger birds. Even now, I have birds who are 5-7 years old laying in December. Thank God, only one hen is a hatchery hen at this point, but she's outlived all other hatchery birds I've had, my Buff Brahma, Caroline. In May, it will be 2 years since she produced an egg, though, and no amount of light can fix that. She's done.
