What I found when researching wand woods
Acacia: Tricky, subtle, gifted, underestimated power.
Alder: Unyielding, but seeks helpful, considerate, likeable, non-verbal magic, advanced.
Apple: Powerful, high aims/ideals, mixes poorly with Dark magic, charming, loved, long-lived, converses with magical beings.
Ash: Cleaves to one master, steadfast beliefs, courageous (never crass/arrogant).
Aspen: Duellist, martial magic, strong-minded, determined, attracted to quests/new orders, revolutionary.
Beech: Wise (young), rich in understanding/experience (grown), performs weakly for narrow-minded/intolerant, subtle, artistic.
Blackthorn: Warrior, prodigious power (can be Dark Arts), needs hardship to bond, loyal/faithful after danger.
Black Walnut: Good instincts, powerful insight, attuned to inner conflict, loses power with self-deception, loyal/impressive with sincere owner, flair in charmwork.
Cedar: Strength of character, unusual loyalty, perspicacity, perception, frightening adversary if crossed (especially for loved ones).
Cherry: Strange lethal power, exceptional self-control/strength of mind (especially with Dragon core), prestigious.
Chestnut: Curious, multi-faceted, takes color from owner, skilled tamers of beasts, Herbology, fliers; with Dragon: fond of luxury, less scrupulous; with Unicorn: concerned with justice.
Cypress: Nobility, heroic death, brave, bold, self-sacrificing, confronts shadows.
Dogwood: Quirky, mischievous, playful, needs excitement/fun, capable of serious magic, clever/ingenious owner, dazzling enchantments, refuses non-verbal, noisy.
Ebony: Combative magic, Transfiguration, courage to be self, non-conformist, highly individual, outsider status, holds fast to beliefs.
Elder: Rarest, trickiest to master, powerful, scorns non-superiors, only kept by remarkable wizard, special destiny, affinity with Rowan.
Elm: Presence, magical dexterity, native dignity, fewest accidents, elegant charms/spells, sophisticated, advanced magic.
English Oak: Loyal friend, strength, courage, fidelity, powerful intuition, affinity with natural world.
Fir: Survivor's wand, staying power, strength of purpose, poor for changeable/indecisive, suited to Transfiguration, focused, strong-minded, intimidating.
Hawthorn: Strange, contradictory, healing, curses, most at home with conflicted nature/turmoil, not easy to master, can backfire.
Hazel: Sensitive, reflects owner's emotional state, needs master who manages feelings, outstanding magic, devoted (wilts), detects water.
Holly: Protective, helps overcome anger/impetuosity, dangerous/spiritual quest, volatile, conflicts with Phoenix feather (but powerful combo).
Hornbeam: Talented, single pure passion/obsession/vision, adapts quickly, personalized, absorbs owner's code of honor, sentient.
Larch: Strong, durable, courage, confidence, hard to please, hidden talents, unexpected effects, exceptional match.
Laurel: Cannot perform dishonorable act (but powerful magic for glory), cannot tolerate laziness, cleaves to first match, lightning strike if stolen.
Maple: Traveller, explorer, ambition, new challenges, status, high achievers.
Pear: Splendid power, warm-hearted, generous, wise, popular, well-respected, mixes poorly with Dark magic, resilient.
Pine: Independent, individual, loner, creative, adapts to new methods, destined for long lives, sensitive to non-verbal.
Poplar: Integrity, consistency, strength, uniform power, clear moral vision, reliable.
Red Oak: Unusually fast reactions, dueling, light of touch, quick-witted, adaptable, distinctive spells, good in a fight.
Redwood: Brings good fortune (attracts lucky people), falls on their feet, snatches advantage from catastrophe, intriguing, exciting exploits.
Rowan: Protective, never Dark Arts, clear-headed, pure-hearted, equal/outperforms others in duels, affinity with Elder.
Silver Lime: Seers, Legilimency, mysterious arts, considerable status, desirable.
Spruce: Requires firm hand, has own ideas, bold spell-caster, good sense of humor, superb helper, loyal, flamboyant/dramatic effects.
Sycamore: Questing, eager for new experience, loses brilliance if mundane, combusts if bored, curious, vital, adventurous, learns/adapts.
Vine: Seeks greater purpose, vision beyond ordinary, hidden depths, sensitive to match, emits magic upon suitable owner's entrance.
Walnut: Highly intelligent, innovators/inventors, versatile, adaptable, can be lethal weapon if subjugated by no conscience (feeds unhealthily).
Willow: Healing power, unwarranted insecurity (often hidden), greatest potential, fastest progress.
Yew: Rare, unusual/notorious matches, power of life/death, dark/fearsome reputation (dueling/curses), fierce protector (not inherently Dark), never mediocre/timid.