Does anyone know of a good private peadiatrician in the north of england?

I have now had enough of the nhs and i want to go private does anyone know of any private peadiatricians in the north of england, i am truly sick of trying this that and the other when my daughter has had no tests for anything, i have tried 6 milks and she is now taking less than she ever has done, they reckon she is dairy intollerant because she weezes all the time and is full of mucus, so i cut out all dairy and she is still the same, they think she has silent reflux which she probably has but the ranitadine does not touch it, how long will it take before they take my daughter seriously, she is not gaining any weight at this rate she will still be in 3-6 months clothes when she is 1!!! I am sick with worry and sick of waiting 4 weeks between appointments while we try yet another milk, i feel im sinking further and further down, the only good thing is she sleeps all night no problem (thank god) cause i dont know how you all cope with this on no sleep either, if one more person tells me she looks healthy and she is happy i will truly scream!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!