Connecting several bulbs in series allows each bulb to drop part of the voltage.
Electrons travelling between ground and the power supply flow through each bulb in the series, so these setups draw 0.25A.
12v----555 bulb----555 bulb----ground = OK
I wired everything up this way, and no light. Here's the only possible problem I can think of: if the guage of wire that I'm using is slightly thicker than the computer's molex connector wires, would that make a difference?
Smaller gauge (thicker) wire will not make a difference.
If you visualize electronics as plumbing, you get the following comparisons:
- Gauge of wire ==> diameter of pipe
- Voltage ==> water pressure
- Amperage ==> gallons of water
Using this plumbing analogy, changing from a 1/2" pipe to a 3/4" pipe will not cause a faucet to quit working.
As long as you stay within the pressure (voltage) and volume (amperage) ratings of the pipe, it will work.
Just to clarify:
1. You are using 12v (yellow wire) and ground (black wire) from a computer power supply molex connector.
2. You are using incandescent 555 bulbs.

3. Neither bulb is already burned out or has a broken filament.
If you aren't sure, check resistance of the whole circuit. (with power off)
If it measures infinite resistance (open), either a bulb filament is broken/burned out
or there is a another bad connection that is preventing current from flowing through the circuit.
Scott