An avenue to explore would be property transactions, especially if you believe they may be a family of means.
For some reason (!) the English state has always paid particular attention to creating and retaining records about property. (A short version of this says: Follow the money -- the records of baptisms marriages and burials at this time were in the not-completely-reliable hands of the church, but money and property matters were important).
Searching at The National Archives, I discovered that The Kent History and Library Centre has a Release by
Deborah Hubble of Westerham, spinster and Anne Hubble of Chiddingstone, spinster to Thomas Wallis of Chiddingstone, yeoman
and a Lease for a
Farm in Penshurst and Chiddingstone
Description Messuage and land and also parcels of land called Row
Garden, Lodge Field otherwise Lower Smithyham, Starborough Field, the
Two Barnfields now in one, Little Smithyham in Penshurst and
Includes, 1702, mortgage, Richard Hollamby to Henry Saxby of the land
only; 1703, settlement by Richard Hollamby on trustees for benefit of
his brother William Hollamby of a moiety of the land; 1705, trustees
to William Hollamby of his moiety; 1708, assignment of Henry Saxby's
mortgage to Elizabeth Hilton of Rottingdean; 1708, conveyance by
William Hollamby of St. Mary Cray, tanner, to Thomas Wallis of
Chiddingstone, yeoman; 1715, assignment of mortgage to Henry
Streatfeild; 1768, mortgage by the daughters of John Wallis to George
Lock of Sevenoaks, carpenter, of the house and land, with deed to lead
the uses of a fine; 1768, conveyance to Ann Streatfeild and deed to
declare uses of a fine
Nottingham University says:
The lease and release was the most popular and widespread way to record simple sales of property from the seventeenth century up to 1845. The lease and release format was also used to convey property for the purposes of mortgages and settlements.
You'll need to consult the documents themselves (not available online) to know if the individuals and places mentioned are relevant (unless they're already familiar to you from other lines of research).
Even if you eliminate these records, it's worth bearing property records in mind.