When you say “person in charge”, do you mean the informant? If so, this could be anyone present at the death .... Might the child have died in a hospital?
Could it simply be that the child was staying or living with the other person?
What date was the death? We might be able to give a more informed opinion if you give more details.
A Scottish death certificate asks for name of mother, father, and informant’s name, plus more, so if all headings are filled in then the information on your certificate doesn’t sound unusual. Sometimes additional snippets are included.