The high or low boiling point doesn't tell you the stability of the compound, but it allows you to infer about the high or low amount of intermolecular forces, respectively.
When you take a compound and perform a combustion reaction, heat is released. The amount of heat released is deltaH, which is a thermodynamic property that informs you about the stability of the compound. A larger deltaH means more heat was released. These deltaH values from performing a combustion reaction tell you about the stability differences of isomers.