The image above is an example of an Orphanís Court Record. This particular record is on FamilySearch.org found under Delaware Orphanís Court Records 1720 - 1975. It isnít easy to find orphan records, so if you find a collection like this one, you can feel pretty lucky, and this one is as early as 1720.
I am showing you this just so you know there are orphan records available. If they arenít on microfilm, you can contact county archives, genealogical societies, and county health departments to figure out where a record is located. You might even need to get permission from a local court.
Let me know if you need help locating a record in a specific locality.