We have 6 RIR's, got them when they were a week old and they are the most docile birds ever 
  Of course we've handled them every day from the time they were peeps - and we still do.
We get an 6 eggs every day from them 99% of the time - yesterday we got 5 and today we got 7 
 - indecisive bitties they are 
, but that doesn't happen very often at all and its usually like clockwork - 6 a day.  It's been like that off and on since they began laying at 15.5 weeks of age.
I dont have any artificial light in my coop now that the time's changed but I do have a large plexiglass window so that probably helps.  They just keep laying without any decrease - so they must be getting enough light.  I usually have all eggs by 9:00 a.m.
Good luck with your birds!  I purchashed all pullets (sexed) and was so afraid that someone would be wrong and I'd end up with a rooster - whew!  Glad they got them right!
You know - I've heard that sooooo many times too - "you have to have a rooster for your hen to lay properly" (and this from our local Co-Ops to boot!) LOL - uhm..nooooo - you dont - only if you want babies!  Ugh - who trains these people?