I'm wondering whether Barchild could have been the father's surname, the mother not knowing his given name (if perhaps she had been seduced by her employer). That surname is not unknown.
Alternatively could there be a connection with the heraldic bar sinister which I believe was the indication of illegitimacy.
It would be instructive to look elsewhere in the register to see how other illegitimate births are recorded. You don't usually have to look far to find one!
I once mentioned the ” bar sinister” denoting illegitimacy , in a reply to a post.
Someone with more knowledge than I,corrected me on that point .
Can’t find the posts now , but it seems I was mistaken.
Just a point, as I said I am not really informed enough but had gone on what used to be the accepted explanation.
Viktoria.