A lot of the larger cocktail shakers do come with the small holes that line up for the drink ingredients under each drink listed at the top(for you teetotalers..

..)
I had another 15-20 minutes of spare time this morning so finished the base.bear in mind that this base is only
3-3/4" high so using wood might be a challenge but the concept is their for the larger sizes of cocktail shakers..
I punched the center hole wider across the elongated ones,then used a dremel with a sanding sleeve bit to shape the hole better..worked fine.I also drilled a ring of holes around the base for air using a longer 2 stage bit so I could clear a drill press chuck and drill them from the inside instead of the outside,lining up with the shank of the bit almost against the inside of the top edge of the cup to keep the holes pretty uniform for height around the perimeter of the base..and it gave me better backing for the drilling directly on the wood block.I then had to file the edges of the holes on the outside to smooth out any protruding fragments.
I think If I was going to burn wood..I'd carry along a piece of wire and make some small wood preloaded "bundles" with some tinder(wetfire,vaseline cotton,birch bark,etc) in the top center of the bundle and fire it up..then drop the cone over the bundle and start cooking that way.It is pretty small......

Addding wood would be like "one pinecone at a time"..to fill the thing.
As I said,it's more the "concept idea" for using a larger cocktail shaker if you are thinking of burning wood.For me it would be used more as a coffee heater or noodles
over an alcohol stove.In a pinch,I would use wood.
The idea is that it does make a nice integrated package including a cap that works as a coffee(milk,or?)measurer or a shot glass,a coffee filter holder,cup,and windscreen,all in durable stainless steel.Mine cost $2!
The views and opinions expressed by this person are his own and not the general consensus of others on this website.Realityguy