Nice to see some non-violin works by Geminiani being played, John
I hadn't come across your John Reid before, though. Another recorder-player (along with other woodwind - players of that period were expected to double on traverse flute, oboe, and even bassoon too) of that era active in Scotland was "James Paisible". He was born Jacques Paisible, and arrived in Britain whilst in the musical of a French dignitary, but seems to have stayed. During the reign of William & Mary Catholics like Paisible weren't flavour of the month, and he appears to have decamped to Scotland whilst William remained on the throne (after Mary had died). He's known to have played the bass violin too, but his recorder playing must have been astoundingly good, judging by the pieces he left behind.
It's very likely - as the best woodwind player of his generation - that when not in hiding in Scotland he would have been one of Purcell's woodwind players.... there are extensive recorder parts in Purcell's work.
Paisible seems to have written the "first version" of the music for The Masque in Timon Of Athens. Purcell was then asked to come in and spice it up for a later revival, but interestingly he kept much of Paisible's existing music, including the "act music" and "curtain music"... which are in that sprightly "shaddup-you-lot-the-show's-starting" style from the generation before, typically like William Brade.