Meanings of slight alleviation in English

Then I lost my self-control; I reproached her, I spoke of my sufferings, and the slight alleviation that I asked for them.

He never saw the pathos of it, as a woman would have seen it, gathering perhaps some slight alleviation from the sight.

He sought eagerly for some slight alleviation of despair in hard literary labor; but to face the outside world was for the present impossible.

Any thing beyond some slight alleviation of the sufferer's pains was hopeless; but this, he rightly believed, he was as capable of administering as another.

The unfortunate prisoners, destitute of shelter, had to bear all the inclemencies of the weather, nor was there the slightest alleviation to their misery.