It's two detectors, each of which has two tunnels at right angles to each other (and generate an interference pattern when a gravity wave distorts the tunnels length).
Only if your interested in the distance, parallax measurements do that by measuring when the Earth in on different sides of the sun.
If you're only after direction you can measure the time skew between signal hitting detector one and two.As you know the speed (same as light), and that the wavefront is parallel, you have a pretty good idea where in the sky the wave came from.
Well, technically, they black holes circle each other for billion of years. So with instruments sensitive enough, you could do that. Unfortunately, LIGO and the others are only sensitive enough to see the last few parts of a second, when the signal is strongest.