Well, I'm not sure what you mean by "responsibility". Local councils have very few obligations, but have extensive powers to make provision for their local community. So hardly anything is a statutory obligation for a local council, but most things are possible. There are specific powers that enable a local council to pay for a playground or a village hall, but it is possible for there to be other expenditure using Section 137. However, there are limits on the amount that can be spent on Section 137 projects. So, on that basis, it may be impossible for the council to pay for a car park, it all depends on the detailed figures. Although even that isn't altogether certain; if the car park was ancillary to another public facility, then it might fall under legislation relating to that facility. The conclusion does depend on the exact facts of the case.