As with a number of places in Pulau Tikus, it was named after a town in Myanmar. In this case, the town of Moulmein, which today is known as Mawlamyine.
Getting to Jalan Moulmein
Take Rapid Penang Bus 101, 103 or 104, to Burmah Road and walk from there through Moulmein Close to reach Moulmein Road.