I can barely see the pocket in the photo you uploaded, but it appears to have leather net pockets with a rope fringe. It's likely the Ventura II or III.
Brunswick describes the pockets exactly the same in the technical specification sheets for all three versions:
Traditional regulation size leather net pockets. All pocket openings are made to exacting industry standards.
However, this describes only the underlying pocket itself, not the fringe decoration.
The photo of the Brunswick Ventura (original) shows leather fringe. The Ventura II in some catalogs show rope fringe, yet the Ventura III shows (and specifies) a "leather fringe" in a 2006 catalog photo (though no other years catalogs specify fringe material. It likely changed over time as material costs changed.
Brunswick Ventura I Photo (Circa 1989)
Brunswick Ventura III Photo (Circa 2006)
I wouldn't worry about it not being an authentic Brunswick pool table. The Ventura is a lower-end residential consumer-grade "furniture style" pool table, and whether it's version I, III, or III is a detail that probably isn't worth worrying about.
As for the value of a Brunswick Ventura pool table (regardless the version) would be somewhere less than $1000. It depends on it's condition, the region, and the supply in the local market at any given time.
Again, it's a residential-grade pool table, and they're a dime a dozen on classified sites. You'll pay way more buying used from a pool table store or billiard service company, etc. I would recommend that you search local classified and see what's out there for the same price they;re asking for the one you're currently looking at. That will quickly give you an idea of whether the price is decent for that pool table or not.