Tullyhaw (Irish: Teallach Eathach) (which means 'The Territory of Eochaidh', an ancestor of the McGoverns, who lived c. 650 AD) is a Barony in County Cavan in the Republic of Ireland. The area has been in constant occupation since pre-4000 BC. Located in the northwest of the county, it has been referred to as Cavan's panhandle. In 1579, East Breifne, then part of Connacht, was made a shire. The shire was named County Cavan (Irish: An Cabhán) after Cavan, the area's main town. The administration remained in the control of the local Irish dynasty and subject to the Brehon and Canon Law.