I've only ever come across Liberty/Liberties in Ireland in connection with the Liberties of Coleraine.
'The "liberties of Coleraine" refers to a specific barony (a medieval territorial division) and a historical area in County Londonderry, Northern Ireland. It's not a general term about freedom or autonomy but rather a geographical and historical designation. Specifically, the North East Liberties of Coleraine comprises the lands east of the River Bann, which were governed as part of the Coleraine town.
Here's a more detailed explanation:
Barony:
In the medieval era, a barony was a territorial division often associated with a lord or manor.
North East Liberties of Coleraine:
This barony is located in County Londonderry, east of the River Bann.
Geographic Context:
The term refers to the lands that were historically governed as part of the town of Coleraine, even though they were physically on the opposite side of the river.
Historical Significance:
This area was part of a larger medieval territory known as the "Route" and later became the barony of North East Liberties of Coleraine.
North East Liberties of Coleraine - Wikipedia
The North East Liberties of Coleraine (named after Coleraine town) is a barony in County Londonderry, Northern Ireland. It borders...
Wikipedia
North East Liberties of Coleraine - Wikishire
9 Mar 2018 — The North East Liberties of Coleraine are those parts of County Londonderry which lie to the east of the River Bann, and...
Wikishire
The North East Liberties of Coleraine are those parts of County Londonderry which lie to the east of the River Bann, and they constitute a barony of that county. They are the lands across the Bann which were governed as appurtenant to Coleraine, a town which stands mainly on the river's west bank.9 Mar 2018' from Wiki
There is also the Liberties in Dublin
The Liberties' name originates from areas that were independent of the usual city government due to special jurisdictions and manorial rights.
In studying old land tenure forms back in the day, connected with a law degree, a liberty was one of these
https://en.wikipedia.org/wiki/Liberty_(division)
The general populace was able to move about more freely on the liberties surrounding a town