Thames River is the background music for the first round of stages in Master of Darkness.
Vampire: Master of Darkness (GG)
The song is track 10 in the SGC file and rendered on the Game Gear's SN76489 chip.
Master of Darkness (SMS)
Since the Master System / Mark III use the same audio chip as the Game Gear (SN76489), the music sounds identical on each.
The Nintendo Wii port is just an emulated version of the game, so it sounds identical.