Read this a while ago, but I've been thinking about it. Could connect it to Don Quixote because there's a wonderful parody of a courtship plot--Flush's emotional investment in Miss Barrett, his desire to protect her, and then his conflict over this with Mr. Browning. Flush is definitely a person, because Flush is really a story about feminism and about running away from Stuffy English Authority To Have Fun In Italy. There's something weird about that, though--writing a story about a helpless dog to show how when Miss Barret's father forbids her from paying the ransom on her helpless dog, he's turning her INTO a dog. Her helplessness was already pretty obvious--was it really necessary to do this? But Woolf isn't afraid of being heavy-handed when she wants to be.
It could also talk to Jekyll&Hyde as a story about Nasty Things That Happen in London. And with all my later-18th/early-19th-century novels about Nasty Things Fathers Do To Daughters.