I suspect the source of the material had crossed over their information
crossed over from where? I think you can only say that for certain if you look at the original record.
and shall accordingly get in contact with the mistranscribed page owner........
Again unless you look at the original, how can you say that a mistranscription has occurred. Gray and Mead don't look alike at all. I don't see how his name has been recorded unless someone gave that to the incumbent in 1881?
There are no relationships shown on 1841 census and I can't find Ann on 1851 census at the moment to see who she was living with. Have you considered the possibility that perhaps she looked on Charles Gray as her father and this is why she gave his name

Just a possibility to consider before you contact the transcription hosts.
Nell