Could babies born in battle claim naval medals?

Could a child born during Trafalgar claim a battle clasp, as Daniel Mackenzie reportedly did for the Glorious First of June?

The recollection is that both received it because they had been present at the battle.

Daniel Mackenzie, reportedly born during the Glorious First of June, provides a comparison with the Trafalgar baby. Both are recalled as receiving recognition because presence at the battle was the requirement. That recollection remains qualified.