You have put no dates for these people to help with a search (apart from a vague '17th and 18th centuries'), which makes it somewhat more difficult to know when to look for them.
There is a very large and comprehensive genealogy on stirnet.com which has William Lane b c 1599, d 1637, married to Ann Isham, daughter of John Isham of Pitchley.
His father Robert Lane married Theodosia Mannors (sister of Sir Charles Mannors). No dates given for these people - I suspect they couldn't find any.
Ditto no dates for Francis Lane and Mary Hartop, daughter of Sir Thomas Hartop of Burton Lazars.
familyserach.org have films of the Horton registers digitised, starting at 1605, but they are locked and you can only view them at an LDS family history centre.
Rothwell registers start 1614, but again are locked.
You would be very lucky to find any parish registers prior to these dates.
As these are high social level families, they may not even have been married or baptised in the local parish church. They may have gone to the nearest big city, or to a cathedral - anywhere in the country possibly. Many higher class families also had their own chapels at their grand houses, and many had their own priests.
Have you searched for any wills for these people? Again, if they were high social class families, there is a good chance they left wills.
