Does anyone know of a specific chip or commonly used way of programming
bootload code into parallel EEPROM that is already soldered on to a PCB?

Essentially the best device would be a serial and parallel EEPROM which
could be programmed serially while on the board and then have the
microprocessor read from it parallel(ly). (JEDEC interface?) Otherwise a
device which is meant to program memory from a standard serial interface. (I
don't want to put another micro on board)

Does anyone have any devices or ideas on this?

Wendall