You say "with many timers and still no light" which probably means operator error rather than a bunch of faulty timers. Almost all timers have pins that revolve as the timer dial revolves. Once the correct pin is tripped, it allows power through the timer to whatever you have it connected to. When the dial moves to the next pin, the connection is broken and no power gets through to the light or whatever. There are usually two pins for each function, so the timer will work twice in a 24 hour period. Remember, each time the dial moves and trips one of the pins, the power is allowed through or stopped. Most timers also have a little dial at the top of the box that you can manually use to "set" the correct time.
However, if you set the pins in place, and manually (do it slowly and not at warp speed) turn the dial, you should get power on and off as they trip the dial's plastic protrusion that controls the interior switch.
Check to make sure the pins you have put in are placed correctly and the longer portion sticks into the timer, past the dial face. Could be you are reversing the pins (difficult to do but possible) and nothing is there to trip the power switch.
Short of all that, take it next door and ask your neighbor if he can get them to run. I doubt your issues are in your outlets. Are you sure you are plugging the timers into the outlets all the way?