Weston was born in 1950 and initially lived in Cornwall, before moving to London in 1972.
- Joy of Paranoia (Ogun 525) with Lol Coxhill
- Ways Out East, Ways Out West (Intakt 097) with Phil Minton
- Boundless (EMANEM 4021) with Lol Coxhill
- Mercury Concert (EMANEM 4028) with Mark Sanders & John Edwards
- 3 Pianos (EMANEM 4064) with Steve Beresford & Pat Thomas
- 6 Dialogues (EMANEM 4069) with Trevor Watts
- Worms Organising Archdukes (EMANEM 4074) with Lol Coxhill
- Temperament (EMANEM 4207) with Jon Rose
- Tessellations for Lutheal Piano (EMANEM 4095)
- Sol6 (REDNOTE 15) with Tony Buck, Mandy Drummond, Luc Ex, Hannah Marshall and Ingrid Laubrock
- Haste (Emanem, 2012) with Ingrid Laubrock and Hannah Marshall
- Dialogues in Two Places (Hi4Head Records CD010D) with Trevor Watts
- "Emanem, l'improvisation britannique au bout du tunnel". Chronicart.com (in French). Les Editions Réticulaires. 12 April 2001. Retrieved 2009-01-09.
- Veryan Weston, official site.