Karen Tarleton has dated this piece to the 1750s.
The engraving appears to be from Chapter IV, the Choragic Monument of Lysicrates. They show reliefs on the Lysicrates monument illustrating the story of the Tyrrhenian pirates. 3 of 7

Four generations of Basires were engravers. The elder James Basire (1730-1802) became known as an engraver of architecture and was employed on the first volume of James Stuart and Nicholas Revett's classic book The Antiquaties of Athens (1762). He travelled in Italy the following year, and around that time became Engraver to the Society of Antiquaries.
This engraving would look stunning framed and measures 19.5" by 14.5". In very good condition considering the age.
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Many thanks
Karen
Karen Tarleton has dated this piece to the 1750s.
You can view the stock and full dealer information on the Karen Tarleton Profile Page