There's a Derickson family that's been in New Castle County since before the US Revolutionary War.

I have some of them in my tree and connect to them though my Springers.
http://trees.ancestry.com/tree/57321330/family?cfpid=3002168...

They are on page 460 and 461 of the Delaware genealogy classic by JM Runk. http://archive.org/stream/biographicalgene01runk#page/858/mo...

The LDS Church website FamilySearch.org has some Delaware records. https://www.familysearch.org/search/collection/list#page=1&a...