Conn's Looking for someone I have never heard of - call 5 -8 times a day

Yes, it is Conn's. Although we have notified them 3 different ways (verbally, via email, and via postal mail) that we don't have an account and don't know who they are trying to reach, they will not stop calling. They have called from several 210 area codes, as well as from 800-253-7050 and all numbers in the 830-541-503X range. We are contacting the TX AG, FTC and FCC with complaints of harassment.

You should have sent the letter certified, return receipt.  Then if they keep calling, you go out, get a consumer lawyer, and sue them under the TCPA at $500 or more per phone call, and if they are trying to collect a debt owed by someone else, under the FDCPA.