No the counties had a notional connection with a franchise to keep them engaged Essex and Middlesex? with London Spirit (and the MCC if i'm not mistaken) were the 3 with an 'interest/link' to London Spirit.
Yes - the counties are linked as follows:-
Manchester Originals - Lancashire (the only one to decide to go it alone!)
Northern Superchargers - Yorkshire and Durham
Birmingham Phoenix - Warwickshire and Worcestershire
Trent Rockets - Nottinghamshire, Derbyshire and Leicestershire
Welsh Fire - Glamorgan, Gloucestershire and Somerset
London Spirit - Middlesex, Essex and Northamptonshire
Oval Invincibles - Surry and Kent
Southern Brave - Hampshire and Sussex
Angus Fraser is the director representing Middlesex, Guy Lavender chairman of MCC, Ray Payne, director of Northamptonshire , John Stephenson, Essex
John was not appointed until 10 December 2021
That's how all the Hundred teams are set up.