A burial note

I've been skimming through Lincolnshire parish records today, accessed through 'Lincs to the Past'. In looking through a parish burial register I found the following entry for an infant girl. After the fact (i.e. after the burial) the parish priest added a terse note:

Buried with Christan Burial inadvertently  ; the father having falsely stated that the child had been baptised.

This also accounts for the statement of her name: a child called Sarah Barsby - till baptised she did not have that name in the eyes of the Church.

If it affected whether my daughter was given a funeral, I'd lie too.