Hello Crabby, I'm listing below what I have on Bennison. Those I haven't researched for myself I've gained from members of Genes Reunited or other family groups, which of course I can't verify, but at least it gives you a basis from which to do further research. I shall put the letters GR after those from these sources.
William Bennison b.1630 at Lythe (GR), children: Isabelle b.1654, Lythe and *William b.1655, Lythe (both GR). (On IGI an Isabelle Bennison died 20 Oct 1654)
*Wm Bennison's children: John b.1679, Lythe, Wm b.1696, Lythe, **Cuthbert b.1697, Lythe, Anne b.1700, Lythe, Mary b.1702, Lythe, John b.1707, Lythe (all GR).
**Cuthbert Bennison m.Isabel Porrett, (b.1714), 6 Jan 1736 at Lythe: children: Wm b.1736, ?Mickleby, ***Henry b.1743, ?Mickleby, Jane, b.1746, ?Mickleby, Isabel, b.1749, ?Mickleby, (m.5 Feb 1774 to Peter Jackson at Whitby). (All children dates from IGI)
***Henry Bennison m.7 Jun 1777 to Margaret Jackson at Whitby: children: Isabella, c.3 Feb 1778, Margaret, c.20 Jun 1780 (m. William Gales (b.1781) 10 Mar 1803 at Whitby), Henry, c.abt.20 Jun 1781, ****William, c.14 Dec 1782, Catherine, b.8 Nov 1789, (all children b. at Whitby and all from IGI).
{Margaret Jackson died and Henry then m. Mary Craven 1 Jun 1800 - no children (from IGI)}.
****William Bennison m.6 Sep 1808 Hannah Flintoff at Whitby: no children. Hannah died 1819 (GR). Wm then m. Jane Harrison 7 Oct 1820 at Whitby (from IGI): children: Margret c.29 Dec 1820, Hannah, c.4 Feb 1823, *****Henry, c.abt.1825, (all children at Whitby and all from IGI).
*****Henry m.Jun qtr 1847 at Whitby to Harriet Hodgson (from FreeBMD): children: William Henry, b.abt.1849, Whitby, and Hannah Jane, b.abt.1850, Whitby (both from 1851 census).
Good luck, 8rossal