Major spoilers for Harry Potter and the Deathly Hallows.
0. Wait. Harry was holding Draco’s wand?
In the final duel, Harry isn't using the holly wand he bought at eleven. He's using the wand he wrestled away from Draco Malfoy. Voldemort, meanwhile, has the legendary Elder Wand.
Here's the punchline: the most powerful wand in existence considers Harry its true master, not Voldemort. The villain unlocked the ultimate weapon and failed the owner verification.
1. Three wands, three very different stories
Harry's original wand is holly with a phoenix-feather core. Its feather came from Fawkes, the same phoenix that supplied Voldemort's wand. Hermione accidentally breaks Harry's wand during their escape from Godric's Hollow.
Draco's wand is hawthorn with a unicorn-hair core. Harry wins it at Malfoy Manor and uses it for the final duel.
The Elder Wand is elder wood with a Thestral tail-hair core. One of the Deathly Hallows, it belonged to Dumbledore before Voldemort took it from his tomb. These are not three names for the same wand.
2. Draco did not give Harry a present
Harry overpowers Draco during the escape from Malfoy Manor and takes his wand. It isn't a gift, and it isn't a romantic gesture. Afterwards, Draco's mother Narcissa gives her own wand to Draco, not to Harry.
The important distinction is that a wand won in a confrontation can change allegiance. Draco's wand felt much more cooperative to Harry than another wand he'd merely borrowed.
3. The Elder Wand had a different owner in mind
First, Draco disarms Dumbledore in Half-Blood Prince. The Elder Wand recognizes Draco as its master, even though Draco never actually handles it.
Then Harry defeats Draco at Malfoy Manor and takes Draco's other wand. The Elder Wand's allegiance passes to Harry too.
Voldemort mistakenly assumes Snape inherited mastery by killing Dumbledore and has Snape killed. Wrong man. Draco had already disarmed Dumbledore.
In the final duel, Voldemort's Killing Curse rebounds and kills him. The wizard holding the wand was not the wizard the wand acknowledged. That is an unfortunate bug to discover at the final boss fight.
4. “So any wand will do?” Not quite
Other people's wands can cast spells. They just might not perform as well. Harry struggled with a blackthorn wand he hadn't won, while Draco's wand responded well after Harry conquered its owner.
Nor does every disarming spell automatically transfer every wand. Allegiance is subtle, and even Ollivander didn't know every rule.
5. Harry, the wizarding world's wand heartthrob
As a joke, Harry has a full-blown wand romance. His first wand chooses him. Draco's wand switches sides. The Elder Wand acknowledges him from afar. Three wands, one absurdly popular wizard.
But that's a metaphor, not canon romance. Unicorn hair is associated with steady, faithful magic, not an exclusive “pure-blood” credential. Reading hawthorn flower meanings as a secret Harry/Draco love confession is fan interpretation, not a confirmed authorial message.
6. In the end, he chose his first companion
In the novel, Harry uses the Elder Wand to repair his broken holly wand and plans to put the Elder Wand back in Dumbledore's tomb. In the film, he snaps the Elder Wand instead; the repair scene is absent.
The most powerful wand in the world chooses him. Book Harry chooses the wand that chose him when he was eleven. Everyone's favorite wand heartthrob stays loyal to his first love.

