Lawton, Lincolnshire is located just north of Gainsborough, Lincolnshire County.And Keadby is just to the left of Scunthorpe, Lincolnshire County. My Map is an EURO ATLAS book of Great Britain which includes: England, Wales, Scotland, & Ireland and is 150 pages long with Many Maps and an Index of "All" Towns and Villages.
And yes, my Needhams were out of Lincolnshire County before 1773.
These were:John Needham Born 16 Mar 1742 Wildsworth, Lincolnshire
John Needham Born 8 Dec 1705 Bransbury, Lincolnshire
John Needham Born 5 May 1671 West Markham, Nottinghamshire