Kaylee was in Serenity's engine room. She is certain of that. She was working on the fuel oxygenator, and the intake valves (all covered in gunk, they were, needed cleaning before they got plugged, made 'em fall out of the sky), and she got a bit tired, so she curled up in her hammock.

And now she's fallen, and her first instinct is to scramble for her feet to find out why Serenity's jostlin' like that... and she slips and falls again. Not Serenity's engine room. She's covered in something sticky and goo-like...

And she's naked. Shiny. She pulls her knees up to her chest to cover up for modesty's sake, at least for now, and wipes the goo out of her eyes, and starts trying to get the worst of it out of her hair.

Questions can come after she's a little less... drippy.