How could hemorrhagic stroke (or brain damage) cause hypertropia to one eye?

Brainstem: Brain centers that control alignment of the eyes are located in the brainstem (lower part of the brain such as medulla, pons and midbrain). Damage to these areas can create a misalignment (or a skew) which can be defined as hypertropia.

Through: Damage to the fourth cranial nerve. When this nerve is damaged, the eye on the same side will point higher than the other eye.