Lettye Aggar Elliot and Lettice (Unknown) Coombs

I think that two families may have been confused in some Internet trees. One is the family of the well-known Apostle to the Indians, John Elliot. His mother was Lettye Aggar or Algar who married Bennet Elliot. They lived first in St. John Baptist, Wilford, Hertfordshire, England where their first two children were born and then in Nazeing, Essex, England where their youngest three children were born.

The other family is that of Lydia, the wife of Rev. John Miller, both of Ashford, Kent. Some give her last name as Elliot and some as Combs or Coombs and others as last name uknown. There are few reliable sources about her ancestry that I could find. However there are some trees on the Internet who claim that her mother was Lettice Coombs and her father was John Coombs.

Further, some sources, notably LDS sources seem to have decided that there must be a connection between Lettye Elliot and the hypothetical Lettice Coombs. They each had a daughter named Lydia, although the one was born in Nazeing, Essex and married James Penniman. The other was born in Ashford, Kent nearly 100 miles away and married Rev. John Miller.

Can anyone find reliable sources for a connection between these two families?