http://www.gamesas.com/topic/1356673-dragonreach-fencers-barrel/
This, sealing to a fence, doesn't work for the special Statue of Dibella you steal in Riften.
Oh, I just steal the one from Maven and the one from the Argonian that respawns (the statue respawns...not the Argonian). I've victimized Haelga enough.

That happens with everything, unless you drop it on the floor first.
Though I remember I had the statue fall off a table before my very eyes. Strange.
The only way I've been able to make anything stay in place (insects in jars, Dibella Statues, et al) is to make sure I've cleared it a large enough 'pad'. Like I have to make sure there are no tankards, candlesticks, sweetrolls, etc too close to the item I place.
