There are a few transcript records on FindMyPast such as those below. The name seems to be quite common in the county. Their records for Earsdon do not seem to begin until later in the 1700s
George Chicken married Ann Potts 24 Dec 1740 Horton, Northumberland
WILLIAM CHICKEN born 1724 Died 27.11.1798, abode Seaton Delaval Northumberland.
Burial 30 Nov 1798 EARSDON, ST. ALBAN.
There are a few BMD records at Earsdon on free reg, all in the early 1800s.
Colin