Who wrote the poem beginning one bright day in middle of night two deadboys got up to fight?

The poem you're describing is actually a traditional nursery rhyme, not a poem with a specific author. It's a bit of a riddle, and there are several variations on the wording.

Here's a common version:

**One bright day in the middle of the night,

Two dead boys got up to fight.

Back to back they faced each other,

Drew their swords and shot each other.**

The rhyme's humorous absurdity plays on the impossible scenario, and it's often used to teach children about rhyming words.