Per my research, the names Chivers, Cheevers, etc. are for the most part related, being the descendents established in England in 1066 by Guilliame le Chievre, a Norman knight in the army of the William the Conqueror; and in Ireland, by descendent Sir William Chevre, one of the companions of “Strongbow” a Norman knight who conquered Ireland in 1170.
Before the 1800's names were often recorded phonetically by scribes without regard to exact spelling - having seen a name spelled three different ways in the same document!! I have found over 20 different spellings of the surname includingChievre, Chevre, Cheever, Cheevers, Chiver, Chivers, Chavis, Chever, Chevers, Chivez, Chevas, Shivas, Schivaz, Schivas, Shivez, Shevez, Shives, Shavers, Shevers, Shivor, Shivar, Shiver, Shivers, Shyvers, Cheves, Shive, Shifers, Shave, Chiffers, CheaversSchivvers, Shivers etc. - all related - which makes researching the family challenging.
A good resource to with respect to the Chivers, Chevers, Cheevers name and family history connections is Max Chevers, "Keeper of the Family Name".His email address is :