If the horn still has it's core, you'll need to boil it for four or five hours. Do it outside as it stinks bad enough to make you puke. To remove the core, put on a pair of thick gloves and grip the horn in one hand while using a corkscrew in the other to work it into the core. Using a twisting and pulling motion, rip out the core along with all the bloody mess. This stinks even worse. You'll be left with the horn itself. Give it a good wash out and allow to cool.
To make a drinking vessel, you'll need to saw off the pointy bit of the horn. Decide how tall you want the horn and saw part way round at the height you desire. leave about an inch uncut and saw two parallel lines straight up towards the top (widest part) of the horn. This one inch strip will form your handle once it's bend back down.
To bend the handle down, boil the horn again for an hour or so to soften it a bit, then heat a piece of sand filled copper pipe. Put the hot pipe in a vice and carefully bend the handle over the pipe. The heat will help it to bend. Once you have the handle bent over and running back down the vessle you can attach the base. This can be from either horn, carefully fitted into a groove cut in the base and hot fitted, or more simply made from a disk of wood like birch or sycamore. You cut the disk and whittle it so it fits snugly inside the base of the horn. You can use any glue - and epoxy glue works well. Once set, pour some brewers pitch in to cover the bottom and your drinking vessel is done.
It can only be used for cold drinks. If you want hot drinks, use a wooden mug. Horn doesn't take kindly to hot liquids - not only will it make the drink taste awful, it'll distort the shape of the vessel.
To make a flat horn plate, cut the tip off the horn then saw right up the length from bottom to top. Boil the horn continuously until you can lever the horn apart. Once you can get it opened up you get two sheets of 18mm ply, larger then the horn all round and smother these with tallow (beef dripping from supermarket, but not lard). The tallow acts as a lubricant allowing you to free the horn once it has cooled.
Place the flattened horn between the slabs of ply and clamp them together tightly. You'll need three or four clamps on each side as the horn will try to curl back on itself as it cools. Leave clamped for a couple of days. Remove the clamps and wedge off the boards. They'll probably have set solid so a good whack with a wedge will be needed. Once you have your slab of horn you can have a go at splitting it into sheets. It is possible to separate the horn into fourteen or fifteen different sheets, going ever thinner until you can see through the horn sheets. If trying this, cut the original down into the smallest squares you can get away with before trying to split.
Lanterns were originaly made from wooden frames and horn windows. The original name was Lanthorn which we turned into lantern. If making lanthorn panes you'll need to smooth and polish the panes to make them more translucent.
Hope this helps,
Eric