Generally speaking, the easiest explanation is usually correct. The more logical hoops one has to jump through, the more times one has to “put away common sense,” and the like, the more likely the explanation isn’t correct. Unusual things do happen, but there is a reason that they are unusual. That “oops” baby great-grandma had at the age of 55, twelve years after her last child was born, most likely is a child of one of her daughters in their late teens. The more creative you have to get to explain something, the more likely something simply is not correct.
Now…if you find first hand evidence of those unusual events, that is a different story. Just make certain the informants are reliable.
And sober…it helps if they were sober when they told their story.