The Hexham Courant and the Hexham Herald are available to browse on microfilm at Hexham Library (a rather time-consuming process!) As far as I’m aware neither of them are available online for the years in which you’re interested.
If you have access to newspapers via FindMyPast or the British Newspaper Archive you might pick up some information via Newcastle newspapers such as the Daily or Evening Chronicles which are both online: I’ve just taken a look and there are passing mentions of some Riding Mill events there.
Jennifer Britton