What the name of this connector?
It's a female crimp terminal (sometimes called an open barrel or u-barrel crimp connector). More specifically, since it has the plastic housing, it's called a PCB female crimp terminal.

Seems like that information was available from where you apparently got the image on ebay  

If the case was that you happened across this image out of context, I recommend images.google.com. Google lets you search by image, basically you can bypass the 1000 words by just uploading the image.