The BOCN forum list is based on a small selection of official documents dated from around WWII.  Its all my own work and thanks for the plug Local Chap 
 
I can't tell you much about the wooden boxes but the 81mm mortar box is a B192 mk I.  Obsolete in British service now, the mk II superseded it.
Each box has a letter/number code which identifies what it is.  It will also have a manufacture date and the initials of the manufacturer.
The 12pr box is Naval, see the large N stamped into the end?  W80 is the box code.  A large N and the code identifier on the end of the box are typical indicators of Naval boxes.  Check to see if there is any Cream coloured paint underneath the brown.