I'm not sure if these are the people you are looking for, but I tell you what I know about my Akrill ancestors.
My GG Grandmother was Martha Akrill born 12.04.1857 - c.1902. Her parents were James Akrill b.1.11.1818 Kirton Lindsey - 1842 and Charlotte Akrill. James Akrill's parents were Edward Akrill or Akerhill b. 25.02.1787 Holton cum Beckering -1861 and Ann Miller b.1791 Corringham, Lincs. They married 21.6.1813. Edward Akerhill's father was called William Akerhill and his wife was called Ann. I don't know if their name was Akerhill and they changed it to something more fashionable or just an error in the records. best wishes, Raine