It is possible, even likely, that all 3 of these families were from Dorset. Dorset has excellent online records at http://www.opcdorset.com/http://www.opcdorset.com/ for those interesting in searching them.
If you are at all interested in DNA testing, please contact me at firstname.lastname@example.org
I should note that many state that there are no connections between the various Hatcher families of NFLD. I tend to question that, since our DNA testing has shown only 3 distinct Hatcher families over several years of testing. Testing is the only way to prove or disprove that belief.