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The origin of the Nene - the UK's 10th longest river - is unknown, but its name has changed over the years, having been known as 'Nenn' or 'Nyn' over the years.
The first side to win five games in Sunday's match will claim the right for the river to be pronounced their way.
Paul Hetherington, 56, Peterborough club secretary, said: 'The dispute has been going on a long, long time, it must be centuries-old.
'I've always been interested in the pronunciation because the towns are only 40 miles apart and we are just downstream of Northampton.'
The River Nene originates in Northamptonshire and runs through Cambridgeshire and Norfolk