I think the local paper would be the Spenborough Guardian, but it's close enough to Bradford for it to possibly be in the Telegraph and Argus. But unless the lady was particularly well-known for some reason, you're more likely to find a small death notice than a full obituary.
The death certificate could be useful. As well as the place of death (you have Dewsbury district from the index, which includes Cleckheaton), it should give her usual residence, which could be a clue as to where she was buried.
Arthur