Why is your oil burner off but you still have heat coming from the baseboard?

A baseboard heater runs through a process of induction and release, in a manner of speaking. That is, the burner will heat the water; the water will pump through the system; and once all is up to temperature, the burner will shut down. However, the metal of the pipes and the water itself will not cool right away; it will remain hot for a time and cool slowly. The closer the baseboard is to the furnace itself, the longer it will remain hot.