Lonely Doll Girl

A friendless female character who, to ease her loneliness, spends her time making or collecting dolls. Seeing her kneeling or sitting surrounded by her dolls, with a sad look on her face, adds to her Woobie factor.

Not always a child; in some cases she's an adult with a Kitsch Collection. Though if she is a child, she might have doll tea parties to make up for the fact that she has no real friends to invite.

May or may not be dark and disturbing.

See Marionette Master, Living Doll Collector for when the Lonely Doll Girl takes it too far. See also Crazy Cat Lady.

Examples of Lonely Doll Girl include:

Anime and Manga

Juvia from Fairy Tail had no friends as a child because it would always rain when she was around. In a few rather woobifying scenes, she's shown making dolls. Justified as the dolls are Teru Teru Bozu, which are supposed to stop rain.
A darker version in Witch Hunter Robin: the girl in question was a witch with multiple personalities manifesting through her dolls, personalities which considered any slight to her "unforgivable!"
Miranda in D.Gray-man would collect broken dolls and fix them back when she lived in her hometown. Being a Butt Monkey who was seen as useless, she hated to see things get abandoned. She certainly gives off a Lonely Doll Girl image here.
Another some what Darker version, in the Sailor Moon anime is lonely Ill Girl Hotaru Tomoe (Sailor Saturn) who is supposed to be the Apocalypse Maiden who will destroy the world. She is often seen being taken over by the Mistress 9 persona in a dark room surrounded by stuffed animals and dolls as her Mad Scientist father talks to her.
The bount's symbol in the first filler arc of the Bleach anime.
Sunako from The Wallflower has two anatomical dolls that she considers to be her friends.
Anju Marker from Karin
In Puella Magi Madoka Magica, Kirsten is a Hikikomori witch with two doll familiars.
Strawberry Panic: Kagome and her teddy bear Percival.
Nomu from Kuragehime; her dolls are her children and everyone else is a "worthless little worm" (though she does help the protagonists).
Rei "Hana no Saint Juste" Asaka from Oniisama e..., to a degree. We don't see her carrying dolls around, but the only "company" of sorts that she has in her apartment is her porcelain doll "Poupee-chan". Which doubles as a Tragic Keepsake as it's a gift from her abusive half-sister Fukiko, whom she's obsessively in love with.
Genderflipped in Slayers NEXT. There's a legend about an abandoned tower where a handsome doll maker lived only in the company of the dolls he crafted and sold; after he fell in love obsessively with a Girl Next Door named Anne, he made a Deal with the Devil and transfomed Anne into his personal Creepy Doll. Decades later, Lina and her group must enter the tower in search of the Bible of Clair, fighting the demon-ized man and Anne the Creepy Doll in a series of contests and riddles. In a subversion, they see that the legend is actually a lie: Anne the Creepy Doll was the real demon, and the man that claimed to be the the dollmaker is a puppet.

Fan Works

Alice Margatroid is often portrayed like this in Touhou fanwork.

Film

Lilo has one home-made doll, whose appearance freaks out the other girls. Later she is seen making Voodoo dolls of her friends and dipping them in pickle juice. ("My friends need to be punished.")
- The main doll may or may not be intended to be a "menehune" (basically Hawaiian dwarfs).
Claudia in Interview with the Vampire has a whole bunch of dolls. Which, while she was growing up, she used to camouflage the fact that she'd kept the corpse of a woman she killed out of envy for the woman's adult body.
The title character in May has a doll that she considers her only friend. She eventually becomes a Living Doll Collector after enduring the events of the movie.
Alice of The People Under the Stairs makes a doll to commemorate each person who dies in her house.

Literature

In Stephen King's Needful Things, Myrtle likes to be alone with the dolls she collects because they don't call her stupid, whereas her abusive husband Danforth does.
The Killing Doll by Ruth Rendell centres around Dolly, a disfigured girl who's too shy to go out and make friends. When her father gets remarried to a less-than-pleasant woman, Dolly feels like a stranger in her own home, and starts making dolls. Including an effigy of her stepmother, which she uses as a voodoo doll...
Sara Crewe of Francis Hodgson Burnett's A Little Princess gets two fancy dolls at critical stages: one when her father leaves her at boarding school, and one at the birthday party when she finds out her father has died. Sara treats them as though they were alive.
The Heritage of Shannara has the Mole, a Rare Male Example. He's an extremely hairy man who lives underground and collects discarded toy animals, thinking of them as if they were real.

Live Action TV

Creepy version in The Twilight Zone episode "The Collection": Danielle, a lonely little girl, has a strangely lifelike collection of dolls. They're babysitters she turned into dolls because she didn't want them to leave.

Video Games

Dorothy from Rune Factory and her stuffed doll Fern, who speaks for her(?) when she doesn't feel brave enough.

Web Comics

Happens in this comic and the few proceeding it in Loserz, with a slight touch of craziness from isolation.
This old episode of Cat and Girl, as something of a continuation of the previous comic.

Western Animation

On South Park Cartman had a doll tea party.
Meg Griffin probably would be this ... except all of her dolls and stuffed animals ran away. One fell behind the rest and chose to jump in front of an oncoming truck rather than return to Meg's room.
On Moral Orel, Nurse Bendy had a small group of teddy bears as a substitute family.

Real Life

Marilyn Monroe's first husband described her as behaving this way during their marriage.
Presumably the guy who started Isla de las Munecas, the Island of the Dolls, though he thought it was the ghost of a dead girl who'd be lonely.