Children are often unreliable witnesses, children especially under 4 are VERY easy manipulated and come to the conclusions or tell stories at the "suggestion" of adults.
At 2, ask a 4 year old to tell you about something. They don't know the difference between reality, fantasy, or what someone has suggested to them.
I find it very suspect that this girl "told her" mom while they were "alone out of town", and not just tell the Mom and Dad, that this man came through my window last night when it happened.
As in the starry, starry night. Please how many 2 year old children use the term" starry night.
I do think that this child may have overheard others talk about this man. Who knows what the environment that this child lives in, after all her Father "seems" a tad unstable, has anger control issues, destroys public displays, and kills people on the basis of no factual evidence.
I think this man "was just looking" for justification in killing this neighbour and what better "pseudo" justification as in "he harmed" my daughter.
So lets look at "who suggested" what and when to this child.
A child that watches cartoons, plays dress up and dolls, and hold tea parties with "fictional" stuffed animals and does not know the difference between what is real and what is not.
Trust me.....this just does not add up.