I tried 2 solutions. Firstly I tried changing the style of the affected paragraphs to Normal style (Home Tab, Styles Section). This appeared to work as this was removing the non-heading text from the TOC. However when I had worked with this file in Word
2007 then back to Word 2010 the problem came back.
That would seem to suggest either that one of the Word installations is faulty or that the document has some form of corruption.
I suggest repairing both Office installation (via Programs & Features > Microsoft Office > Change in the Windows Control Panel).
As for the possible document corruption, documents can often be 'repaired' by inserting a new, empty, paragraph at the very end, copying everything except that new paragraph to a new document based on the same template, closing the old document and saving
the new one over it. Similarly, corrupt tables can often be 'repaired' by converting the tables to text and back again or by saving the document in RTF format, closing the document then re-opening it and re-saving in the doc(x) format.