The screenshot looks like it came from within a quest area (body glowing yellow to be looted, skills showing like just finished combat) rather than within a player house. My guess is that we'll never know "what kind it is" as it's not available to be crafted.
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Ah, then it's probably a faction's style. The symbol would tell us...like for example, maybe Redoran Sentinal, which is a circle w three vines branching from the center. But hard to say w/o a screen shot. Also, whatever faction the mobs in the area belong to might tell you.
It'd be nice if crafted beds came in multiple colored sheets.