Washing a hammock: just like handwashing any piece of cotton clothing?

I have a 100% cotton hammock (only fabric, because it fits into a frame, so I don’t have to worry about wood or metal pieces). It’s not especially dirty, I just want to wash it after having had it for a while.

Should I just fill bath with warm water and mush around the hammock with liquid soap, like I would with handwashing clothing? It seems a little delicate and I’m concerned about getting it tangled up when it’s heavy and wet, maybe damaging it?