Anything that appears in away programmes on the Linnets, such as History and PenPics, are written by Runcorn Linnets and forwarded on to the opposition.
Middlesbrough, Telford, Halifax and Scarborough are and aren't continuations of the old club. In each case the club was liquidated and a new club formed, in some instances the new club being accepted as a continuation of the old club.
Middlesbrough kept their name and league place. Telford were relegated two leagues but claim the history of the old club. Halifax were relegated three leagues and promote themselves as a new club but mention the history briefly. Scarborough started at the bottom and make no mention of the old club - interesting that the
Scarborough Athletic Website, doesn't have the history of Scarborough FC!
Linnets is slightly different to the above four examples in that Runcorn AFC Ltd (the company who traded as Runcorn AFC / Runcorn FC Halton) was never liquidated. The Doc simply resigned the club from the league. Runcorn Linnets was formed as a new club by supporters, but the club old club still existed (albeit on paper).