means The condition of having a rough, raspy, or strained voice, usually from irritation, overuse, or illness of the vocal cords.

from From "hoarse," which traces back to Old English "has" (rough-voiced), with cousins across the Germanic family — Old Norse "hass," Old High German "heis." The silent "r" snuck in later, possibly by confusion with "hoary" (grey, frosty), as if a worn-out voice had aged overnight. The "-ness" is the plain old English suffix that turns a quality into a thing you can have.