What is this fabric called pleased?

[perfectlybroken]

I am looking for a sort of cotton fabric, I presume it must have a name! It's very thin, but hangs quite heavily, and is extremely soft, almost has a slightly brushed feel but nowhere near as think as brushed cotton. It almost feels like it's been washed a lot, even when it's new.
A friend bought me a kaftan made from it, from Somalia, and I found it sooo comfy. I don't remember seeing it on sale very often, except once in local fabric shop and I passed by it at the time as was looking for something else. I'm now hunting it down, but a name would help!
Anyone have any ideas?
Thanks

Is it Indian Cotton? I don't know if that's the official name, though. Like this?

A bit more googling and I think rayon challis is the one. It also seems not to be that widely available here, which explains why I haven't seen much of it!

It's very much like indian cotton swedish, but not quite, though that website has some lovely patterns so I might go for that instead!