Lady Elizabeth Gore (1653–1705) by ? (Guildhall Art Gallery - London UK)
I am willing to date this to 1701 in spite of having no articles in thepeerage for any name listed in the lower right. There was a William Gore who was Lord Mayor of London in 1701 and this portrait is owned by the City of London Corporation.
From bbc.co; spots removed throughout image with Photoshop by gogm.