The only thing known about his wand is that it is eleven inches long.
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Draco Malfoy's wand was made of elm wood.
James Potter's wand is made of mahogany and is 11 inches long. It's core is unknown.
No wands have names in harry potter, except the elder wand. Harry's wand is just referred to as "Harry's wand".
Elmo
No characters, that we know of, had a wand made of Reed. However, there are many characters who wands we don't know about yet.