Just read this thread and found most responses to OP to be quite harsh, especially those along the line of 'you should have got a baby sitter / tried harder to find one - they should have been left to X, Y or Z'. Much easier said than done, especially without knowing OP's circumstances. Reading her post, I could understood her position quite well: I moved to a new city recently. I don't know any of my neighbors (yet). I have absolutely no friend around, not even within a 100 km radius. I have absolutely no family I can rely upon either (the closest family member lives 5 hours away by car and is disabled). And my partner is often abroad for his work, so when he is, I am totally on my own with my two small children (4 and 2.5). If anything happened and if I had to go to the hospital, I could not find a baby sitter within a few hours, no matter how hard I tried (and the OP did try). Add the actual date of OP's misfortune to the mix: mid August, many people are away on holiday - all my close neighbors certainly are, and so are all the school parents… So sure, my children, my responsibility, but I don't see how the OP was irresponsible to take them with her on this particular occasion - she had no other choice, and yes, sometimes, it really is the case.
Re the pushchair, or lack thereof, I can also sympathize with the OP, even though I would have tried really hard to take it, which it seems the OP did. Sometimes, it is just easier to put a one year old in a babycarrier.
Most of the answers just focused on defending the NHS, saying that it was overstretched and that staff should 'focus on the job'. Well, on this occasion, it performed rather poorly with the OP. The receptionist made a mistake, which can certainly happen, but one that she did not even bother to recognize or acknowledge, while it meant at least two more hours of waiting for the OP. While it is not the radiologist's 'responsibility' to deal with OP's children, it is also true that he/she could have acted a bit more compassionately, and thus made things a bit easier for everyone. To end up saying that the OP is 'lucky (the X-ray) was done at all' struck me as being typical of too many comments pertaining to any story involving the NHS. Granted, it is overstretched, but it should not mean that it is standard to make mistakes, or to show a lack of professionalism (receptionist) or compassion (X-ray tech). One has the right to demand more. In fact, because it is the NHS, and because British people are, rightly, viscerally attached to what it stands for, one has a right to expect the best care, no matter the circumstances. And like some posters stressed, it is indeed exactly what one gets on many, many occasions, including with small, tired and feral children on your side…