Lights, here is step by step the way I do it. I will post a small composite picture also if it meets guide lines.
If you talking open reed, Rich Cronk has already posted a full tutorial here.
I use a Jet mini lathe, 4 jaw chuck from harbor freight, pen mandrel from woodcrafter, also needed is 1/4" bit, and 9/32" bit, helpful is having a step drill ( unibit ).
step one. Cut all wood to uniform size and mount in 4 jaw chuck.
step 2, drill 1/4" hole thru wood blank, then bore out sound hole with unibit.
step 3 mount on pen mandrel and turn shape in way that is pleasing and functional.
step 4 sand and polish to degree wanted.
step 5 take off mandrel , drill out 1/4" hole with 9/32" bit.
step 6 finish as desired, I dip in Deft ( laquer) and buff.
step 7 put a little glue on JC reed holder ( Availible from All Predator Calls ) and insert into call body about 1-1/2".
step 8 insert reed ( also from APC ) into reed holder.