A full moon is shown over the house, and bright moonlight is shown through the windows. The moon was in a waning quarter on October 31, 1934.
Lola Gray tells Ben that she wanted to be the next Gloria Swanson but had to give up her dream when she got pregnant with Daisy 18 years before in 1916. However, Gloria Swanson had made only a couple of short pictures at that point and would not become famous for several years after, so there would be no way for Lola to want to be her.
However, it can be assumed that Lola's desire was to be a movie star, not a "particular" movie star. In the "teens", she may have idolized Mary Pickford, Mabel Normand, or some other silent film actress. However, with the passage of time, she would replace the tangible object of her dreams with an actress who had transitioned to "talkies"; thus, Swanson became the example to reflect her dream.
However, it can be assumed that Lola's desire was to be a movie star, not a "particular" movie star. In the "teens", she may have idolized Mary Pickford, Mabel Normand, or some other silent film actress. However, with the passage of time, she would replace the tangible object of her dreams with an actress who had transitioned to "talkies"; thus, Swanson became the example to reflect her dream.
The Doctor references electroshock therapy and lobotomies, neither of which existed yet in 1934.
Actually, while lobotomies began to be widely used in the late-1930s, the first one was performed in the 1880s. Also, although the first use of electroconvulsive therapy occurred in the late-1930s, IMDB guidance for "anachronisms" states that "a good deal of leeway" is given and that as long as events are "of the period" it isn't considered a Goof. After all, "bear in mind that it's entertainment not documentary."
Being Catholic, when Daisy quotes from Revelation, she would be using the Douay-Rheims translation which agrees with the King James Version for all of the words quoted from Revelation 2:10, but the book itself would have been called (The) Apocalypse (of St. John). Later, the demon quotes from the King James Version: Revelation 13:1.
The doctor removes Daisy's bindings so she can rest more comfortably. When Ben (seen as a priest) asks if doing so is safe, the doctor somewhat derisively insists there are no demons there. Whether there are demons or not (there aren't), Daisy has clearly been self-harming, evidenced by the self-inflicted bloody scratch marks seen across her face. The restraints were placed on her to keep her from doing any more such harm, not to protect her from a demon.