The answer, according to the first two episodes of doll & Em, is a glorious female incarnation of Curb Your Enthusiasm.
He had, according to the museum, challenged the doll to do its worst before leaving.
BarbieCollector.com, which sells the doll, calls it “pretty, provocative, and magical.”
This video is NSFW for language, as well as that bit with the doll.
I have a doll that used to belong to my daughter, named Nephew.
He was powerful mad with me, but he seen that I meant like I said, so Lou can keep her doll.
With a satisfied smile, she put the doll away in her drawer.
She caught her doll into her arms and met her companion's surprised gaze.
It was plain to be seen that Bessie had set her heart on that doll.
"I should like to see him, and also the Monkey on a Stick," said the doll.
1550s, endearing name for a female pet or a mistress; originally a familiar form of fem. proper name Dorothy (q.v.). The -l- for -r- substitution in nicknames is common in English: cf. Hal for Harold, Moll for Mary, Sally for Sarah, etc. Attested from 1640s as colloquial for "slattern;" sense of "child's toy baby" is c.1700. Transferred back to living beings 1778 in sense of "pretty, silly woman."
1867, "to pet, indulge," from doll (n.). Usually with up. Meaning "to dress up" is from 1906, American English. Related: Dolled; dolling.