What's the normal term for a Catholic priest that works in a parish under another one?

I am trying to learn about Catholic clerical posts called _"cura"_ and _"cura teniente"_ in rural 1700s Mexico. _"Teniente"_ generally means second-in-command, like _lieutenant_. I am tempted to translate the title as "assistant priest" but this specific term refers to priests of the cathedral chapter, so I'm not sure of its correct name in English. So in a parish with both sorts of priests, one would outrank the other? If so, I would like to know what to call those positions. Thank you!