Was this the birthplace of William Roscoe, poet?
[EDIT: see posts #11 & 12 for the birthplace of Roscoe.]
The map shows a house (or houses) with a Bowling Green attached to the rear of it. [EDIT] There is a possibility that this could be the later New Bowling Green Inn run by William Roscoe's father.
This is the site today. You can see that it is reasonably flat, and would of commanded great views of the town before the land was built up around it. The Inn was on (or very close to) the site of the Antram Hotel, Mount Pleasant.
[Use the blue slider bar below to view the whole map.]
[EDIT: map updated following new information.]