[Harmless Teddy Bear]

It is only a theory that requires the healing to have occured after the point in time you assume the ministry began.

When her problems began is speculation although rooted in logic. But when she was healed is not speculation but must have been after His ministry began as it is recorded that the beginning of the signs was at Cana.

So she must have been healed after that point.

[Oztrich Boy]

Cana is recorded as the first public display, not the first.