Many local news stories are actually quite hard to research on the internet. Firstly, many local newspapers routinely delete content from their websites after a fairly short period of time. (That's partly to ensure that people can't find details of local offenders' spent convictions, thus undermining the principles of the Rehabilitation of Offenders Act, and often also just to save a bit of space on their server). Further, most newspapers have only had websites for around a couple of decades and they've never put older content online.
So local libraries or (possibly far better still) County Records Offices are often a much better place to search.
Here are a couple of (hopefully useful) pointers for you when searching the web though:
1. Remember that the use of double quotation marks forces Google to include pages which only include the specific string enclosed within those marks. For example, searching for "Needham Market' (with those quotation marks) will only show pages which include the name of that Suffolk town. Omitting them might also find references to the town of Needham in Norfolk and/or pages including the word 'market'.
2. To limit your search to a specific website include 'site:' before the relevant web address. For example, searching for this . . .
"going on holiday" site:theanswerbank.co.uk
will only return pages from AB (and nowhere else) which include the phrase 'going on holiday'.
With regards to copyright, you won't have any problems as:
(a) nobody will know about it ; and
(b) there's no copyright in news anyway. (There can be copyright in a specific article, in terms of the way in which it is written, but the actual facts within news reports are exempted by copyright legislation).