The Ebenezer Atkinson birth at Hartwith on the IGI was from the Quaker records, Knaresborough Meeting, deposited in London hence the confusion on the IGI.
Quaker records tend to be in family blocks rather than by date, so this is Ebenezer and siblings. Birth records as Quakers didn't do baptisms.
1766. Ann the daughter of James Atkinson and Jane, his wife, was born the 17th day of the 9th month, 1766 at Hartwith in the Parish of Kirby Malzerd.
1767. James Atkinson, son of the aforesaid James and Jane Atkinson of Hartwith, was born the 16th day of the 8th month 1767.
1768. Ebenezer Atkinson, son of the aforesaid James and Jane Atkinson of Hartwith, was born the 11th of the 11th month 1768.
1771. John Atkinson, son of the aforesaid James and Jane Atkinson, was born the 25th day of the 3rd month 1771.
1773. Thomas Atkinson, son of the aforesaid James and Jane Atkinson, of Mauk Hill in Darley, in the Parish of Hampsthwaite, was born the 29th day of the 5th month 1773.
1778. Jane Atkinson, daughter of the aforesaid James and Jane Atkinson, of Cinder Hill in Darley, in the Parish of Hampsthwaite, was born the 12th day of the 6th month 1778.
Alan.