Michael said:

Isn't there a risk that this would merely encourage more cars on to the roads? Speaking as a local resident, if I knew there were free parking readily available near the up platform at FH station, I would drive to the station more often, to avoid a (steep) ten minute walk to and from my house.

If I'm right, there might not be much improvement in the street parking situation. People who at present regularly park in the streets might start using a station car park (either FH or the one nearest their home), thus creating space on the streets for people who currently walk or take the bus but would prefer to drive if they could be sure of a free or cheap parking place near a station.