I am currently researching my wife's family. Her maiden name is Enness. Enness seems to be a current spelling of various earlier variants on Inous, Innous, Enowes, Ennowes, Inness and sundry others. I have traced her family back to Braintree and Bocking. I am currently still working through the Bocking and Braintree registers to try and extract records back to 1558 or thereabouts. It seems that there is a possibility that the family name Ennowes, Innous etc etc is also linked to Coggeshall and Earls Colne in Essex and I am about to order and view these registers. I have found some of the records you list in your message(e.g. Gulielmus Enews who married Elizaetha Lagden 1605 Bocking and other register entries on a very early Bocking register transcription (LDS Film 193984...1560-1639.)
In addition if you have not already discovered it a wonderfully researched record of the history of Earls Colne (enter 'Earls Colne, Essex records of an English village' to Google.) This contains members of the Ennowes family amongst many others and is the most comprehensive study of collated material I have ever seen about an English village. Absolutely amazing!
If you have not already seen it this may add to your data. I am currently trying to build up a family tree from this web site for the Ennowes based on the Wills, Manorial Records,and extracted register entries etc displayed.
If you have any evidence of positive and direct connections for the Innous, Ennowes of Bocking and Braintree to Coggeshall and Earls Colne I would be pleased to hear from you. I am trying to make a connection but almost impossible I guess.
In addition I have my theories that the name Innous, Ennowes might have some Huguenot links but still working on this tenuous possibilty.