the entries in woods atlas are those from a few years earlier than publication date - 1861 I think but somewhere Nigel gave a specific date for the list of names + owners.
No you can't immediately tell if say a Wm Cain whose name is against land in German and Michael is the same Wm Cain (unless some other designation was given) - however the pattern of landholding is important - the key thing about Woods atlass is that you can locate a specific area of land - then find its name or intack number - the latter is extremely useful as you can now find the corresponding intack in the Lib Assed (assuming lords rent) and then by working backwards in Lib Assed find previous tenants (by tenant in Lib Assed is meant the person paying the Lords Rent - in most case this would be the actual occupier but as estates became merged from later 18th C there might well be a tenant-farmer with the actual owner living elsewhere - eg the large estate built up by Edwdard Gawne) - this gets you back to 1702 and the start of the compulsory registration of land transfers by sale (see North + South side sales (+ also mortgages by which the 'owner' of the land raised capital using the land as security - see book of mortgages) Lib Vast gives the reason for the land transfer as one name is drawn out and a new name entered - an alienation fine is payable at this point - not all the land in a given holding needs be sold - you will see subdivisions in which the setting quest has to split the existing rent between the existing holder of part of the land and the new situtation with 2 'tenants' (ie tenants to the Lord - tho actually they effexctively owned the land).
The Intack lists were changed (holdings grouped + re-ordered in 1702) - the 1704 composition book tells you the holder in 1704 and the holder in 1643 (generally) thus proving one link between pre 1702 and post 1702 lists - in 1643 the land holding was in contention as Earl James tried to make all tenants to be tenants at will so he could alter rents etc - however he needed to raise money as the English civil war had started and he levied composition fines by which tenants paid a certain amount for either a fixed period (eg 21 years) or 3 lives (ie any three named individuals - when all were dead or the fixed period expired a new composition fine was payable - the 1691 composition book shows which lives were still in being (they were not necessarily related to the tenant) and their current age - the 1702/4 act of settlement altered this - fixing all rents (tho doubling all quarterland rents - hence 'double rent' in the description and abolishing composition fines after the act came into force with one last fining prior to this)