Liverpool’s second town hall

[PhilipG]

Liverpool's Town Halls have always been on or near the site of the present Town Hall.
The present building opened in 1754, was gutted by fire in 1795 and rebuilt within the external walls.
The previous Town Hall of 1673 was practically next door, a little to the south, so whatever they've found near the Pier Head was never the Town Hall.
I thought archaeologists were supposed to know about local history.