I keep coming back to this as it is very puzzling.
I think there are a few discernable letters-:
?o?ie Mi??
Given that the B of born, which I agree is definitely a B, is formed unusually, I am wondering if what looks like a T for the first name might be something completely different? But what?
Carol A3 - in the documentation you have seen with this style of writing, can you see a letter which looks like this "T"? (and is it a "T" in your documents?)
Like many others, I have looked on freebmd for births and deaths, also on Ancestry burial and baptismal records, but found nothing that looks likely. I also checked the 1871 census as the child should be there, but either found too many matches or no matches using wild cards. Maybe someone else might spot the name on the 1871 census?
Others have suggested that the writing looks "foreign" - as no records have been found using the regular channels, it crossed my mind that the family might be non conformists or perhaps Jewish?

Even the sex of the child is ambiguous.