It looks like Thomas and Elizabeth Price were living in the parts of Denbigh that are missing in 1861.However this could well be Elizabeth recently widowed it seems in 1871.
1871-25 Swine Market Denbigh.
Elizabeth Price,born c 1840 Ruthin Denbighshire.
Robert Price son,born c 1862 Denbigh Denbighshire.
Annie Price daughter,born c 1866 Denbigh Denbighshire.
John Price son,born c 1869 Denbigh Denbighshire.
Regards
William Russell Jones.