The birth cert turned up this morning, and confirms that Sarah was born on 15 Oct 1862 and that her parents were James Rogers, a farm labourer, & Jane, formerly James.
Well done CaroleW - your census results appear to have been spot on.
Have to turn my attention to her previously-mentioned husband, Thomas Price, and his birth in Radnorshire in c1860.
Many thanks one & all
Cheers
Clive