Congratulations on your new female. They turn a darker color before laying egg at somewhere between 6 and 14 months old. I would set up a 10 inch deep laying bin for her in her cage at around 5 1/2 months old.
How are your babies doing? You could keep them in a plastic Rubbermaid type tote. Search baby bins here and you should see some examples. At that size I do not drip, just mist.
Sometimes especially when they are young they can be secret drinkers. You could try turning up the dripper to ever 5 seconds. For how long does the dripper drip at a time? Sometimes it takes them awhile to start drinking.