Game Kings with a 3902 board do not have 27C16 EEPROMs. I think you're referring to the backplane EEPROM? It's a 24C16. It doesn't have any game software stored on it, just some of the data from the game and machine. It's unique to the MPU board so one from another machine will not work in yours. If you're looking for game software it uses EPROMS and SIMM cards.
044 MPUs use a flash board (or a legacy adapter board for running 3902 software) to store game software. It uses a 24C256 EEPROM on the motherboard, but again it's unique to the machine and is not the game software, just data stored that the game software uses.