I'd just like to warn anyone travelling with a pram/buggy/pushchair to avoid Cross Country trains if at all possible.
Most other train/bus companies I've encountered are perfectly happy to let buggies occupy their wheelchair spaces as long as no wheelchair requires them (and of course we are perfectly happy to move as soon as any wheelchair user does). However Cross Country trains has a stated policy - confirmed by their CEO Andy Cooper - that wheelchair spaces are to be kept completely empty at all times. Even if you get on with a buggy just before departure into an empty wheelchair space and are getting off at the very next station so there is no chance that a wheelchair user could want it, they will likely ask you to move.
Apparently the only option is to find the single coach on the train with an "extended luggage compartment" - in my experience the grimmest, darkest, dirtiest part of the train - wake up any sleeping child, fold their buggy in the confined space of the luggage area, then carry now screaming child (and any other children and luggage) to find a seat.
They call it "right of access". Well I for one will be trying not to access any of their trains until my kids are grown up! Maybe if we all did this, Cross Country would realise they are alienating a lot of passengers by this absurd policy.