Euros are not property of national central banks, they belong to the European Central Bank, but they are issued by individual banks (and printed in several places, not necessarily in the same country where they are issued).
Each euro note has a serial number. Its first character is a letter identifying the issuing state (Greek euro notes have "Y"). See http://en.wikipedia.org/wiki/Euro_banknotes#Serial_number.
Therefore, it is technically feasible to recognise the "Greek" euros (Greek coins are even easier to single out because one of the faces is always nation-specific). Those euros do not only circulate in Greece, therefore anybody physically owning euros, and not just foreign tourists coming back from a holiday in Greece, would be affected.
Nevertheless, this is not the way it works when a country opts out from a currency union: in those cases a new currency is created (or revived, like the drachma) and an initial official exchange rate is established by the government. Bank deposits denominated in euros in Greek banks may or may not be forcibly converted according to this exchange rate. See http://en.wikipedia.org/wiki/Argentine_economic_crisis_%281999%E2%80%932002%29#End_of_convertibility for a recent example of a similar process.
Assigning a special value to the Greek notes would be a breach of the European treaties and the other countries would have no reason to accept nor implement such a decision. Those treaties do not comprise any mechanism to get out of the Eurozone, so the conditions would have to be negotiated or imposed unilaterally. Exit strategies implying distinct values for euro notes issued by distinct Eurozone countries are extremely unlikely because they would raise countless legal, diplomatic and practical problems; creating a new drachma and replacing euros with it is much more straightforward.
Bottom line: this British MP does not seem to have a very clear understanding of how the Euro works (which, BTW, is pretty typical of most British politicians).