And, what is even more exciting and tingling, is that while browsing for pictures on the internet of the hammerhead bat, I came across yet another even more exciting picture, that of a Jersey Devil, which looks even more like the Big Bat I had encountered, in that the Jersey Devil has the hooved feet that my alien cryptid also had. The drawing I have made here on this page, was made in 2013 when I had the sighting of the Big Bat.
From Wikipedia: https://en.wikipedia.org/wiki/Jersey_Devil
"In Southern New Jersey and Philadelphia folklore, the Jersey Devil (also known as the Leeds Devil) is a legendary creature said to inhabit the Pine Barrens of South Jersey. The creature is often described as a flying biped with hooves, but there are many variations. The common description is that of a kangaroo-like or wyvern-like creature with a goat- or horse-like head, leathery bat-like wings, horns, small arms with clawed hands, legs with cloven hooves, and a forked tail. It has been reported to move quickly and is often described as emitting a high-pitched "blood-curdling scream"."
The picture on the right is from the Wikipedia article. The picture was published in 1909 in the Philadelphia Bulletin.
If you read on the Wikipedia page about the Jersey Devil, it seems that this creature is only a local legend in New Jersey. However it is interesting that I would have seen the creature in mental images, presumably before I had known about the Jersey Devil, especially considering how surprised I was to come across this picture of the Jersey Devil, and that my Big Bat and the Jersey Devil would look identical to each other.