Teaser 2892: Political pairings

From The Sunday Times, 25th February 2018 [link]

A debating society arranged for a series of eight political debates between different Labour and Conservative politicians, each time with a different presenter.

The presenters were:

MARR, NEIL, NEWMAN, PARKINSON, PAXMAN, POPPLEWELL, ROBINSON and SNOW.

The Labour politicians were:

ABBOTT, ABRAHAMS, CHAKRABARTI, CORBYN, EAGLE, LEWIS, STARMER and WATSON.

The Conservative politicians were:

BRADLEY, GRAYLING, GREEN, HAMMOND, LEADSOM, LIDINGTON, MCLOUGHLIN and MUNDELL.

For each debate there were 2 letters in common for any pairing from presenter, Labour politician and Conservative politician. The Labour politicians are listed alphabetically.

What is the corresponding order for the Conservative politicians?

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