You are probably drawing too much current from a 9V battery. At 60ma, it can supply enough current to light the bulb. At 160ma, you are maybe drawing too much current and the internal resistance of the battery is causing a voltage drop. As the battery overheats from excessive current, the internal resistance may drop.
Measure the voltage at the bulb when you try this, see what it shows. Also, measure the battery voltage with both bulbs, see if there is a difference.
You don't specify what kind of 9V battery you are using, I'm assuming the standard alkaline 9V type...
Also, having a transistor handling the current draw, and with a sagging voltage on the base, the transistor gain may limit the current as a start, then slowly increase if the battery voltage slowly increases.