Denita, getting through all of this takes an enormous amount of patience and dogged determination on your part.
As for locking your child out - you cannot lock her out of her home. You CAN change your locks. When she knocks/rings doorbell she must be let in. Inside areas do NOT have to be available for her use. She has to have access to the room she sleeps in and the bathroom and likely a living area and food area. It does NOT mean access to all the computers, tvs, game systems, etc... Those can be in locked rooms. If she takes appliances to pawn, make sure that 3 meals a day are available for her - school lunches count (put the $ directly onto an account for her, even if you must drive to school and walk in to do it).
She MUST have a second way to leave the house in case of emergencies. Usually a bedroom window counts as long as it will open. My dad is a GIANT fire phobic person. Anything left turned on was going to burn the house down when I was a teen. After gfgbro was brought home by the cops my dad nailed his windows shut anyway. He DARED my bro to report him - told him to be prepared to leave and live on his own because he would get to leave with the social worker!
If you keep calling the officers they WILL get annoyed and start doing something. It just takes a lifetime to get it done. I am SURE there are statutes in TX that say a child cannot run away, cannot take things that don't belong to them from their families, etc... If the officers will not do this, get your documentation (including any mental illness diagnosis's, prior offenses that the cops have told you are not a problem, etc... - this is where keeping a parent report up to date is really really helpful!), figure out what you want to tell the Chief of Police, take a good book or two, a thermos of coffee, or coke or whatever, a snack, etc... and then go to the Chief of Police's office. Ask his secretary if you can speak to him about a problem. You will get lots of underlings that they want to brush you off on, insist that you NEED the Chief. Let the secretary know, very politely, that you will wait as long as it takes to get just a few minutes with the Chief. Then sit down, chat pleasantly if she is inclined (starts it or whatever feels right in the situation), get your coffee/hmj ready, pull out your book and settle in for a wait.
Generally one of a few things will happen. First option: The Chief will decide to "teach you a lesson" and let you sit there until the end of the day to see if you will really do it. Second option: The Chief might see that you are really serious about NEEDING to speak with him and he will speak with you fairly soon. Third option: The Chief really IS in back to back meetings that overlap and he will do what he can to fit you in as soon as he gets a chance where he doesn't have to run to the restroom ASAP.
The Chief will see that you are serious. Let him know the problems, what the officers have told you (badge numbers/names are helpful if you have them, if not do not worry about it), and what you need/want to have happen. make sure you have any info on the stolen items so that the Chief can get people to check it right away.
It may be the only way to get to the police and to get the officers to pay a lot more attention to teen offenders, at least in your area!
Whatever happens, I am sure you will figure out a way to feel safer in your home, and to learn to cope with this in the healthiest way possible.