Depends on your area.
In my area there are many jobs/companies that have evening or overnight shifts.
Those employees that need care usually have family members that pitch in an help or they work opposite shifts of the other parent and don't use or need child care.
However, we did have a center open up that provided care 24 hours a day/7 days a week. It was crazy busy at first but then over time it slowly cinched up it's hours and stopped providing care 24 hours a day and instead just opened early and stayed open late. After a while it ended up being open from 6 AM to 8PM and that was that.
The community simply didn't need the services. One or two kids in attendance didn't cover wages or costs to operate.
The need for night care is dependent on your area.
There will be a "type" of client that needs/uses that type of service so you need to account for that as well.
I would just start asking around. Place an ad on Craig's List or an area FB asking about the community's need or interest. Network with other area programs and child care agencies and ask if they get a lot of calls inquiring about extended hour or over night care.
Learning your community needs is a great way to assess how to meet those needs and it's the first step in any successful business.
