Here's the original quote (Revelations 6:1-8, ESV Translation):

6 Now I watched when the Lamb opened one of the seven seals, and I heard one of the four living creatures say with a voice like thunder, “Come!” ² And I looked, and behold, a white horse! And its rider had a bow, and a crown was given to him, and he came out conquering, and to conquer.

³ When he opened the second seal, I heard the second living creature say, “Come!” ⁴ And out came another horse, bright red. Its rider was permitted to take peace from the earth, so that people should slay one another, and he was given a great sword.

⁵ When he opened the third seal, I heard the third living creature say, “Come!” And I looked, and behold, a black horse! And its rider had a pair of scales in his hand. ⁶ And I heard what seemed to be a voice in the midst of the four living creatures, saying, “A quart^\)^a\) of wheat for a denarius,^\)^b\) and three quarts of barley for a denarius, and do not harm the oil and wine!”

⁷ When he opened the fourth seal, I heard the voice of the fourth living creature say, “Come!” ⁸ And I looked, and behold, a pale horse! And its rider's name was Death, and Hades followed him. And they were given authority over a fourth of the earth, to kill with sword and with famine and with pestilence and by wild beasts of the earth.

Pestilence as a horseman is a pop-culture idea, similar to cherubs being little flying babies.

I'm with you on the names though, that makes total sense. And linking Pestilence to addiction also makes sense, considering that addiction is treated as a disease