In a nutshell...
The boundary fence with our neighbours was damaged by the weather. We agreed to go halves on new panels (as we saw it to be the neighbourly thing to do despite deeds indicating it is their fence). We agreed on panel style with the neighbours, then we ordered the panels (we are yet to see a financial contribution). Neighbour is insisting they should get the 'nice' side of the panel.
Looking for advice on how to solve this with them amicably.