The William Butler Yeats poem The Stolen Child is used by the fairies to summon Jasmine. "Come away oh human child to the waters and the wild. With a fairy hand in hand for the world's more full of weeping than you can understand".
This is the Torchwood take on the famous Cottingley fairies. In 1917, two little girls professed to have discovered real fairies at the bottom of their garden and had photographic evidence to prove it. Only when they were old ladies did they reveal that it was all an elaborate hoax. Two 1997 films delved into the same subject: FairyTale: A True Story (1997) and Photographing Fairies (1997).
Jack Harkness compares the fairies to Mara, a specter or wraith-like creature in Germanic and particularly Scandinavian folklore, thought to cause nightmares, also called "spirit of confusion". Doctor Who, of which Torchwood is a spinoff, also had a creature called a Mara (Kinda: Part One (1982) to Kinda: Part Four (1982), Snakedance: Part One (1983) to Snakedance: Part Four (1983), and Doctor Who: Time Crash (2007)). It was based on the Buddhist demon of the same name.
During Estelle's lecture a slide projector shows an old photograph of a girl and fairies. That is one of the 5 original Cottingley Fairy photos from 1917.
The food that Jasmine is setting out to hand around at the party is Fairy Cakes.