I have traced the Burkitt family back to a John Burkitt who lived in Clarborough, Nottinghamshire. He had a son, Charles Burkitt who married Anne Johnson on 3rd July, 1721. She was christened in Clarborough, 27.6.1697. Charles & Anne married in Walkeringham. Their children were Richard Burkitt (chr. 1723/4), John chr. Sept. 1726, and William chr. May 1730. John married Mary Laughton, William married Ann. Richard Burkitt married Ann Bagnall.
If anyone is researching Burkitts in Nottinghamshire/Lincolnshire, please contact me if your family links with the above.