After spending the first five years of Living-History events in a tiny tent, and the next five years in a tent that was a bit larger, but still very small, last year I finally had enough of tripping over all my stuff, when going to bed at night. So I decided to order a larger tent, which I am going to show off at some point in the future, when the weather is nice enough to pitch it in the garden. Now I have enough room in the tent for furniture.
Taking furniture on Living-History events can only be a compromise. We know from ancient sources that furniture existed within tents in military camps, e.g. on Alexander's campaign. However, I think it is safe to assume that this luxury could only be afforded by the higher officers. When we are talking about travelling civilians, I think we can safely say that bringing furniture or even a tent along can be considered unusual.