The problem with SOLAR POWERED,,, lights is somewhat complicated to be effective egg enhancer.
First,,,, the light needs to be available on a daily basis, and extend the daylight to total 14 hours. (light + daylight)
without fluctuation.(some days more,some days less)
The added light is best when added in the morning before sun-up. So something about ON at 2:30AM ,,, off at about 6:30AM (at sunrise) .
This way chickens start eating as light comes on. Then go outdoors and continue their daytime activities. At dusk,(4:30 during winter ) they go to roost and sleep. You may need to keep adjusting the time, as days do get longer after Dec 21. More than 14 hours is not necessary.
This can be done, with Solar, and a timer,,, but needs a more complex setup which includes Storage Battery, as well a good solar panel to charge battery. The light also needs to be bright enough.
An entry level solar light will come on at dusk and provide light, but not for long period. It is an effective item to allow chickens to find their way around inside coop once it is dark outdoors. This setup will not enhance egg production very much. It does encourage chickens to enter coop after dark, in case some stragglers forgot to enter at dusk.

WISHING YOU BEST,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
