It was revealed by Mevia that there were once numerous Eversource Crowns which were used by the Old Builders to help distinguish the Eversource Chickens from normal chickens.
This means that the Eversource Crown owned by Jesse has no special properties. Consequently, the ability to produce items and spawn eggs must be associated with the Eversource chickens themselves.
The Eversource Crown is the longest equal item (exempting the diamond sword) to have remained in Jesse's inventory during the next three episodes after "Order Up!", with the other being the enchanted flint and steel.