Children of the Damned (1964)

It presents itself as a sequel to the same John Wyndham novel that Village of the Damned (1960) was based on, not a follow-up to the film. Perhaps they thought that would satisfy viewers who would question the changes made to the implied origin of the children and the complete reversal of their function. It also adopts a more world view, upping the paranoia from small town concerns to larger, international levels.
The virgin births and church setting are less than subtle, but I did wonder was it being too obvious for a reason? Questioning what you're seeing is essential to broadening the simple analogy framework.
It's not as creepy as Village, but it has a threatening charm of its own.

3½ united fronts out of 5