So ear candling is basically putting one end of the hollow candle in the ear and the other end is lit with fire. Now apparently this works because the burning creates a 'vacuum' which causes the earwax to move upwards. However, If this is correct then I don't understand why by burning upwards, the flow of the air goes up
Ear candling sounds like Rube Goldberg's replacement for the Valsalva maneuver - Wikipedia.
In either method, the air pressure on the inside of the ear drum is temporarily higher than the air pressure on the outside. The candle induces a slight vacuum externally; the maneuver induces a slight increase in pressure internally.
This can have various effects, some good (e.g. equalizing pressure when in a descending plane flight, or while scuba diving) and some bad (e.g. cardiac arrest or hernia).