Looking at some London parish register indices I am puzzled how they show some (although not as many as usual, admittedly) for birth, deaths and marriages that took place after the church had burned down and years before it was rebuilt.
Many parishes in the City of London were
united after the Great Fire. They shared a church, but the physical delimits of each parish were observed for administrative purposes, even though the church building had been destroyed.
Some united parishes kept
combined registers, others kept
separate registers. For those with separate registers, events were recorded in the appropriate register according to the parish where people lived.