No name for this one, that I know of, but it is a favorite of mine & the SO. We came up with it a couple of years ago after a few drinks and feeling pretty horny/adventurous....now we go for it as a special treat for both of us....2 or 3 times a month.
Here goes: imagine reverse cowgirl, but after penetration the girl lays back flat on top of me....both of us facing up....this link is the closest that I can find that show this initial position:
http://www.sexinfo101.com/pearlygates.shtml
She then grabs her vibrator and goes to work on her clit while she & I fuck. Because she is on top of me, facing up, she claims it exposes her clit for maximum stimulation. She easily has a couple of O's this way. After a couple of O's it's "my turn" so she says....it's really our turn. She slides a pillow onto my chest so that she can reach to get the vibrator into her pussy along with my dick....dp'ing her pussy with my dick & a vibrator....(once she's going, she slides the pillow out from between us so she can arch her back while holding the end of the vibrator)....being inside of her with the vibrator is a feeling that is incredible. If she's in overdrive then she has one hand on the vibrator (inside her), the other hand playing her clit, her head arched back over my shoulder and bucking like crazy until she O's and I cum. Most of the time my hands are holding onto her breasts, wrapped around her chest or holding her hip-bones. She loves it and I love it. It takes a few tries to get your 2 bodies to work together, but trust me it works and we both love to do it together.
She claims it's the only DP that she's ever had
Same here!