The British Library website gives full details and access. After registering first, the cost is £6.99 for a 24 hour pass for 100 articles, or £9.99 for a 7 day pass for 200 articles.
However, before subscribing, check that you could be eligible for FREE access if you are a member of a subscribing institution. The note on the bottom of the website states "The digitised nineteenth century British Library newspapers are freely available for people in UK higher and further education, in some UK public libraries and in some institutions in other countries. Please contact your library to find out access".
The following website is also useful for further details and the full list of the 49 local and national newspaper titiles available:-
http://blog.eogn.com/eastmans_online_genealogy/2009/05/british-newspapers-18001900-online.html#more Hampshire County Council libraries provide free online access through library tickets, other town and counties do, just check first before subscribing. One can spend hours on this fasinating website, there is so much to look at. There are many articles on all kinds of mining, quarrying, mining disasters etc. It is also a valuable source of information for researching family history.