There's more inconsistencies then anyone is bringing up. One, that the father was texted about the furnace, but the mother had no idea of any trouble with the furnace. Also, the boyfriend is a known con man with a list full of women accusing him of "taking them to the casino, and asking them for money".. talks of him using the owner of the house for money. Why would the father be so quick to lie about a furnace? Is he the real benefactor of the insurance money? Who's name is the house in? That's the more important question. I see two motives, possibly three if the somehow the boyfriend persuaded the wife into some insurance fraud, remember he has a criminal record and is known as a con.