Some Aydelott Links....

This link from the Italian Ancestry site gives the only explanation I've found on the web, so far, of the origin of the Aydelott name...

https://www.ancestry.it/boards/thread.aspx?mv=flat&m=7&p=surnames.aydelotte

Where the Aydelotts came from...

https://books.google.com/books?id=7n3mpO1eRxgC&pg=PA143&lpg=PA143&dq=The+History+of+the+Aydelott+Family+in+the+United+States&source=bl&ots=0eD6VKGUCe&sig=_BzfrkEYzNKd_gu6UDeLaiv0mJA&hl=en&sa=X&ved=2ahUKEwiK9v_E0ffeAhUnvlkKHWofBt84ChDoATACegQIABAB#v=onepage&q=The%20History%20of%20the%20Aydelott%20Family%20in%20the%20United%20States&f=false

Some geneologies...

https://www.wikitree.com/genealogy/AYDELOTT

http://gigatrees.com/users/home/saga/sources/S2411

http://www.westernkyhistory.org/livingston/aydelottwarford.html

And some biographies...

Rev. Joseph Aydelott...

https://books.google.com/books?id=EO0WAQAAIAAJ&pg=RA5-PA296&dq=aydelott&hl=en&sa=X&ved=0ahUKEwjx8pHb2ffeAhXCs1MKHcwhCTM4HhDoAQg6MAM#v=onepage&q=aydelott&f=false

George K. Aydelott...

https://books.google.com/books?id=6GaJ1UUwqhAC&pg=PA56&lpg=PA56&dq=The+History+of+the+Aydelott+Family+in+the+United+States&source=bl&ots=1hVtLyGwW4&sig=c-X3kIXh2MNZLSKLKJPIGFt9nVk&hl=en&sa=X&ved=2ahUKEwi0iLH60_feAhWG1VkKHUjiC0k4FBDoATAJegQICBAB#v=onepage&q=The%20History%20of%20the%20Aydelott%20Family%20in%20the%20United%20States&f=false

And architect Alfred Aydelott...

https://www.architectmagazine.com/design/culture/the-aydelotts-24-million-gift-to-architecture-students-in-the-south_o