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Looks like you're going to have to get a new battery if it's been drained as many times as you say. Most non deep cycle batteries don't take well to being completely discharged and charged very many times.
After you replace the battery check current draw from the battery with everything off. Should only be a few milliamps at most if you only have to power small things like an alarm, clock, etc. If current draw seems high start checking wires.
First start with the leads for the radio. Did you pull 12V line from a constant source that's always on even when the car is off. If you did and the radio stays on even while car is off there's your problem. Or maybe you crimped some of the factory wires differently to create a complete circuit that is drawing power.
If that doesn't solve anything or radio is completely disconnected and all wires capped so they don't short or ground against each other the problem is more hidden. Start at the fuse box and try to identify the circuits that are drawing power then check to see if they should be drawing power while the car is off. Something could have shorted when the radio was installed.
Could also be if she only makes a lot of short trips. There could not be enough time for the battery to charge while the car is running. A new battery will fair better but an older battery will probably die before it's normal life is up.
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