The Original idea of returning to quarters using light and siren & yes, the Bell on the rig, goes back to the days, long ago. up to the 1960s, when FDNY rigs did not have radios. The exception early on was the Fireboats/Marine Units., they had radios very early. The unit had no way to know to respond to the next box or run, until they were back in quarters and had access to the Telegraph Alarm system bells in quarters. Now alot of units use sirens and lights, with care, to get back to quarters through the often-heavy NYC traffic in a reasonable amount of time.
The photo above is of FDNY Engine 31 quarters on White St. in lower Manhattan. I was inside the E-31 firehouse long after it was closed and used due to a crack in the foundations. Engine 31 was disbanded I think in the late 1960s. I worked at one time in FDNY Engine 27 at 173 Franklyn St. not far south of this beautiful firehouse.
Captain Bob Rainey FDNY Engine 26 retired