James Sambrook appears to agree that you have the correct Hale, in the annotations to his William Cowper: The Task and Selected Other Poems
> _258\. Hale: Sir Matthew Hale (1609-76), Chief Justice of the King's Bench, devout Puritan, and able philosophical defender of the Mosaic Account of the creation._
_The Mosaic Account of the Creation_ is the order of creation as laid out in Genesis, 'Mosaic' denoting the tradition that the first five books of the Bible were written by Moses.
On Hale's view of the non-retractability of a wife's consent, we can only hope that Cowper's unmarried state left him in ignorance of the consequences of Hale's doctrine.