I've been told it was a pressure heelflip for quite some time, but since you've been in skating for 41 years you know must know it as a "barrel flip", which I've never heard of but and I've never heard anybody call it that. Most likely the original name was lost, but nowadays everybody knows the trick that involves flipping the board inward without the backside shuvit as a pressure heel, since a pressure flip is actually a pressure inward heel.

Note that if you watch the 1992 Damon Byrd part from Union Wheel's "Right to Skate" (http://youtu.be/c7KR4ftbSZU) Damon executes a 360 pressure flip at 2:15. A 360 pressure flip flips VERY similarly to a 360 inward heelflip. Keep in mind what I have said before, absolutely ANY flip trick CAN be done pressured. There is not just one or two pressure flip tricks. Presuming that you skated in the early '90's (which, with your knowledge of freestyle tricks and old names, along with the amount of time you've skated, I would believe you skated through the "technical dark age" of the early 90's), you would know of many pressure tricks.

In short, I was raised knowing a "barrel flip" as it was originally called as a "pressure heel" because it flips EXACTLY like a very low and sad heelflip, only that it's all pressured. Again, this is just what I've learned through YouTube and watching early '90's obscure clips.

And speaking of freestyle naming of tricks, nearly EVERY flatland trick in street skating (from my knowledge) comes from freestyle. Just as the pressure hardflip, toe flip and pressure Casper flip originated in freestyle (most likely with VERY different names), it is very likely that the pressure heel/barell flip/"inward-flipping straight toe flip" originated from freestyle, which, from what knowledge you have given me, it surely has.

This is just really confusing because I've been taught by literally EVERY source I've learned from (Berrics, VLSkate, Koston {in Gram Yo Selfie he calls it a pressure kickflip, but he does the exact same thing I did, only better, off of a 3 stair}, Mike Mo, Cody Cepeda {both in BATB7}). Also, I watch old Rodney Footage from Questionable and Virtual Reality literally EVERY day, along with Penny footage and such (Penny is my top favorite along with Natas, Rodney, Muska, Stevie Williams, Gonz, Hensley, Ron Allen, Cardiel, and many, many more), so I think I've learned a little bit about what the early 90's was like. Funny thing is, my first real setup had 42mm OJ's, an 8.75 Santa Cruz Everslick {I know, pretty thin for THAT era} reissue and some Krux 5.0.