Further information found. I have located a spreadsheet of all the burials at Kirkheaton Parish Church (I've already searched the Dewsbury burials and found nothing). Again, no record of a burial of Rebecca Rhodes or Rebecca Dransfield but the spreadsheet indicates that a number of pages of the parish records are illegible - it doesn't mention which years so I am trying to contact the owner to see if he knows.
However, what I did find was the birth of a child - Wilkinson Rhodes - to a Rebecca Rhodes of Houses Hill Kirkheaton. No father was named and the birth was eight months before she married Thomas Henry Dransfield. Then in 1870 the child died of a scalded chest (Thomas Henry there at the death and reported it). Did this end the marriage as she was living with her parents in 1871 and Thomas Henry was back living with his mother and siblings.