You are confusing morris DANCING with morris DANCES.

The Cotswold dances are clearly derived from popular 17th century dance (the best way to piss off a Ring dancer is to tell him its just Playford with hankies).

The Fenland (molly) dances are 19th century folk dances, most also occur in social dance. (not to be confused with the large number of composed "molly" dances by the Champs and their imitators)

Borders dances are modern "reconstructions"

I have no idea about the North West dances but have seen suggestions that they are the older tradition.

Elizabethan references to morris seem to refer to any display dance and Will Kemp would probably regard any dance routine in a modern musical as morris.

I take the Moorish connection with a pinch of salt. The face blacking traditions were usually concerned with extracting money from richer neighbours and the only disguise available was a handfull of soot from the chimney.