Your post is somewhat lacking in detail, but assuming you are speaking about fillament bulbs you can't really wire them up in a manner that could cause premature failure, you put live on one side of the fillament and neutral on the other and it lights up. Connect a live on both sides or a neutral on both sides and it won't light.
So the fact that they were lit is a good sign, so what could be the problem?
1. Poor quality bulbs
2. Bulbs to large for the fitting so that they overheat
3. Poor quality fitting causing bulbs to overheat
4. Loose connection, usally obvious, as bulbs will flash, or have a slight delay comming on accompanied by flashing and or crackling noise.
However your comments are not uncommon, I have come across a lot of fittings with multiple bulbs that don't last long. My guess is that they tend to be smaller (physically) for decorative effect so the heat doesn't dissipate as well and are positioned at angles rather than vertically putting a strain on the fillament and it all seems to have an effect.
Of course if you are using low energy lamps that's a different matter.
More detail / clarification might be helpful, particularly the type and size of lamp. (It's a bit like asking, my car keeps breaking down what's the problem, but not telling us the type of car) I'm not sure I even understand the configuration you describe above, but may be that's just me.
Not sure why you've posted this on "Electrics outside of the UK" forum either, I was fairly sure Berkshire was in the UK