Vikki Louise Hull, 29, was found at the home in Heaton Close, Speke, at about 03:10 GMT on Sunday.
She was taken to hospital where she was confirmed dead at 04:14. A post-mortem examination found she died from strangulation.
A 31-year-old man from Speke was arrested on Sunday evening and is being questioned by police.
A man has been arrested on suspicion of murder after a woman's body was discovered at a house in Merseyside.