photo credit: Southampton City Art Gallery
This man is so distinctive that someone might be able to identify him. I think it's a rather good painting and close to Wright of Derby.
My suggestion for the sitter is Henry Harington M. D. (1727–1816):
The collection comments: 'The painting is thought to be a portrait of Nathaniel St André by an unknown artist. It was purchased from the Council of the Hartley (now Southampton) University Library in 1904 by Southampton City Council as a portrait of George Frederick Pitt (donor of the Pitt Library).'
Probably by Mason Chamberlin the elder, see https://artuk.org/discover/artworks/view_as/grid/search/makers:mason-chamberlin-the-elder-17271787
Maybe Sir Isaac Watts. I believe he wrote the music of Southampton Civic Centre bells chime. He has a large nose, which upon looking at other portraits, they also have large noses.
It is also the School hymn for King Edward VI School, Southampton, which Isaac Watts himself attended, the peal of the Southampton Civic Centre clock tower and The Laidlaw Memorial School and Junior College, Ketti. Wikkapeadia