Oh my god! I am sorry they made you cry.
I have been unemployed, for medical reasons, since February of this year and have had just about every type of CA call me. A lot of them have been calls just like yours. I had one CA push me to the brink of making a disastrous and permanent decision, because of the nasty message they left. I found this site because of that, and managed to regain a little of my dignity by suing that CA for violations of the fdcpa.
I am glad you came here, I would definitely recommend bookmarking this site, registering, and reading everything you can here. Learn about the FDCPA, and your rights under this law.
Have you received anything in writing from Encore yet? They are required to send out written notice within 5 days of the initial phone call. This notice should list the debt, how much you owe, and advise you have the right to dispute within 30 days.
Also, you mention they call between 8 AM to 9-10 at night? The latest they can call is 9 PM your time. If they call after that, it's a violation of the FDCPA.
There is a lot you should learn here, and I would definitely start reading, if I were you. I haven't even touched the tip of the iceberg. Be sure to ask any questions you might have and someone here will help you out.