Another Mystery

We have another mystery, this time it’s trying to identify a couple of wooden ‘tools’ from a woodworker’s stash.
We have no clue as to their use.  On the back side there is a hole, obviously meant for hanging on the wall.  They are identical.  We thought at first they were a pair, but the shaping on the upright piece is the same, so not meant to face each other but used individually?  About 18″ long over all.
Anyone have suggestions?
The white things at the top are little price stickers with no information on them.