I went to the library thinking I would find MI's for Middlebie cemetery but there weren't any for Adamson or other cemeteries in the area.
No death for your Jean - she isn't on the 1861 census so, I assume she died between 1851 and 1861 and as her death isn't on SP she probably died before 1855.
Did get a little information on Mathhew Adamson married to Elizabeth. Shall PM you this.
cupcake