I've made a few sticks, mostly for myself, but a few as gifts. Based on what the stick is used for- light walking, rough terrain hiking, load bearing, etc will determine the wood and amount of disfigurement to allow. Mostly it's just some random fallen limb that I'll pick up for a walking stick, or if I see something "interesting" I'll tote a stick home for some working on. If nothing else it can always go to the lathe and becone a trinket or the woodpile.
:imo: Hickory is almost always a good choice, if you can find a fresh-cut limb of the right diameter it can be bent to shape then cured. Some fruit woods can be figured (or disfugured) for a nice looking stick but have a bad habit of checking badly while curing and being too fragile for heavy use.
Oh- and if you're in the right area, fallen limbs from nut trees make great sticks. I've got a pecan cane and walking stick I made from a dropped limb in the MiL's yard. Beautiful wood, strong and pretty too. Just don't forget to band the bottom and put on a removable rubber cane tip.
vic