I hope you don't mind a drive-by comment -- I saw this on my network page and thought I'd have a go, since I've been doing a lot of online historical research lately.

I'd hoped I could find an online archive for you, but I couldn't. However, I did find the website for the West Yorkshire Archive Service, which has a very helpful page about resources people think it has, but it doesn't, and where to try to find them. It doesn't have any newspaper collections (only clippings), but says "Most Local Studies Libraries hold local newspaper archives" -- and gives a link to a list of local libraries (with further links to the libraries' individual websites). Looks like the one in Bradford itself is closed at the moment, but perhaps there's one that your relative could get to that has the Bradford Telegraph and Argus.

I hope that helps!