Grace Kissell's body was found by police at the house in Cowal Drive, Linwood, at about 14:30 on Thursday.
A police spokeswoman said a post-mortem examination would be carried out to establish the cause of death, which was being treated as "suspicious".
The 41-year-old man was arrested on Friday and is expected to appear at Paisley Sheriff Court on Monday.
A 41-year-old man has been arrested following the death of a 33-year-old woman at a house in Renfrewshire.