I've looked on the Notts FHS CD.
There is only 1 marriage between a John Wood and Elizabeth Webster, the date of which you've got.
There are then these children born to John and Elizabeth Wood, with the baptisms at Nottingham St Mary, Nott St NIcholas and at Radford St Peter. I don't know if this is all the same family, but as I said, there's only one marriage.
1675 10 21 Mary John WOOD Elizabeth RADFORD St Peter
1677 03 30 Elizabeth John WOOD Elizabeth RADFORD St Peter
1680 06 02 Hannah John WOOD Elizab. RADFORD St Peter
1684 01 06 Elizabeth John WOOD Elizabeth NOTTINGHAM St Nicholas
1685 05 15 John John WOOD (no mother named) RADFORD St Peter
1686 11 10 Hannah John WOOD Elizabeth NOTTINGHAM St Mary
1687 10 16 Thomas John WOOD Elizabeth RADFORD St Peter
The baptism of John Wood, parents John and Anne, in 1652 is on the disc, but the baptism was at Radford St Peter, not at Nottingham St Peter. There were 3 other baptisms to parents of these names, between 1648 and 1662, in either Radford and Notts St Mary. I can't see a marriage for John and Anne pre-1648.
Looking at burials of John Wood, there are several possibilities in the right time frame between Radford and Nottingham, but this one made me wonder:
1721 11 25 John WOOD Radford St Peter Gentleman RADFORD St Peter
- a gentleman - dd he leave a will maybe?
This burial, at Radford,may be of interest:
1658 09 29 Ann WOOD Radford St Peter Wife of John
And this one:
1720 09 28 Elizabeth WOOD Radford St Peter Relict of John generos
(what does "generos" mean? But Elizabeth was a "relict" so John must have predeceased her)
To confuse that, another burial in the same year, using the same terminology:
1720 12 12 Mary WOOD Radford St Peter Wife of John generos
Maybe something here might be useful?