Recently, after beating the Sound Elemental quest and recruiting Elmira, I talked to her in the tent. She said her usual things and stuff, but then I went to talk to Abby and she gave me the task of talking to the android again...

Anyways, I went to talk to Elmira again, she said the same thing, went back to Abby and she still said the same thing when asking her about jobs.

Is this a bug or is there any way to fix my situation?

It's not a bug, just some dialogue I need to rephrase! It's not stated anywhere at the time, but you need to have recruited Ashley or Cedric before Elmira will respond to Abby's request by giving you a different task related to one of those two characters. Completing that quest and then talking to Elmira again will fulfill Abby's request.