Sorry, but there’s confusion here about the distinction between Parliament and Government.
A Member of Parliament is only a member of the government if he/she holds a ministerial post in the current executive, which is formed by the largest party in Parliament. All other ordinary MPs (600+ of them) are no more part of government than ordinary members of the House of Representatives are part of the current US government. In this case, it’s simply a private individual making publicity about a pet cause.
Paula Sheriff is a Labour MP, not a member of the ruling Conservative Party, so is miles away from government. Because she happens to be an MP she gets the attention of the media. But it’s not Government business, not even Parliamentary business.
All other ordinary MPs (600+ of them) are no more part of government than ordinary members of the House of Representatives are part of the current US government.
'Ordinary' members of the US House of Representatives are indeed part of the current US government.
From http://www.house.gov/content/learn/ for example, As per the Constitution, the U.S. House of Representatives makes and passes federal laws. The House is one of Congress’s two chambers (the other is the U.S. Senate), and part of the federal government’s legislative branch."
Instead, you are attempting, unsuccessfully, to argue that only "the Executive Branch" of the US government is, colloquially, "the government". You are also claiming that the MP is not part of 'the UK Government', but that was not at all the intent or the actual substance of the discussion here. Rather, a colloquial usage of 'small g' government is what is going on here. Neither I nor SoFloFreeper capitalized the 'G' as in' Government'.
Because she happens to be an MP she gets the attention of the media. But it’s not Government business, not even Parliamentary business.
Nobody claimed that this occurred as "Government business" or "Parliamentary business". Rather, the claim was "government involvement" which is surely what we see here.