Silicon Controlled Switches SCS equivalent circuit with transistors not working
I believe that the load (your LED / resistor) should be where you have SW2, upstream of Q1. Q1 and Q2 will act as a latching switch, driving the base of each other. Q1 needs to be able to pull the base of Q2 low to latch the switch. This is why the load must be moved.

The control will be done where you have SW1. You need to be able to pull that node high (the way you show it now), and low (not implemented in your circuit).

Dave Jones actually has a pretty nice discussion on this type of implementation at https://www.youtube.com/watch?v=Foc9R0dC2iI.