No, the buildings here are heated and maintained by the Council (both Protestant and Catholic) - despite the dwindling number who attend (and I imagine, looking at the figures, that it won't be long before people start questioning this- it's very expensive)- the tax money goes for the running of the Church, as Elegran describes- as well as all the activities run for disabled, elderly, chaplaincy in OAP homes and hospitals, etc, etc.
Now the local Churches are in a terrible quandry- yes of course they want to be welcoming to all, and support those in need, in times of grief and for funerals, and to encourage mariage, etc, etc. And of course those faithfuls who pay the tax want to welcome all with open arms- and yet- as they have to do more and more fundraising to support Church activities as their tax, due to the fact so few pay it, just do not cover costs- as much as they do not want to criticise, and to continue to have open doors- they are scratching their heads and hearts wondering why people who do want to partake somehow are not prepared to contribute- and leave the few to do all the hard work and pay too. Can't you see how that makes them feel?
And how the Vicar feels when asked to do a funeral service, and told to keep the religious stuff out!?! Couples are interviewed about their faith in the mariage preparation course- and many go through he motions and give the 'right' answers and attend for a few week before, and hopefully after.. and then... stop attending, and paying too. Then of course expect children to be baptised (and you are right, baptism is NEVER) refused- neither are funeral services, and weddings very rarely (only if it is toooo obvious that the couple has no belief whatsoever).
Again, think of the Golf Club example. Just not fair.