What is the origin of the quote "Should one man go hungry, and I be fed?" (maybe not be exact quote)

Answer 1

I don't know that quote, but the feel of what you stated is Marxist, "From each according to his ability, to each according to his need".

Answer 2

“While women weep, as they do now, I'll fight; while children go hungry, as they do now I'll fight; while men go to prison, in and out, in and out, as they do now, I'll fight; while there is a drunkard left, while there is a poor lost girl upon the streets, while there remains one dark soul without the light of God, I'll fight, I'll fight to the very end!” ~ William Booth