stalked by another woman

I’m being stalked… by another woman. I can assure you that I did nothing to lead her on. I’ve barely even spoken with her.
My name is Victoria and she is Francis, or Fran for short. I’ve heard people call her Fran the Man. Anyway, she lives few blocks from my apartment complex and works in the building next to my office. I’m a funeral director, and I guess she does something for the city as she is always in a city uniform. Well we did a funeral service for a coworker of hers, she came by to pay her respects. She was in the chapel for about ten minutes and then came out and started talking with me. I was friendly and engaged with her. She asked about the funeral business and I answered her questions.
Days later she dropped by the funeral home and left me some Starbucks coffee. I was taken aback but made no mention of it. As I left work one evening she was waiting on me and wanted to know if we could get together for drinks. At the time I was really tired and told her maybe some other time. She was disappointed, but said that was cool. A few days later she was out there again waiting on me, and again asked me out, and again I let her down easy. I could see that she got angry.
Over the course of a few weeks, she would drop in to chat and occasionally bring me small gifts. It made me feel weird, but I didn’t want to hurt her feelings. Then she asked me out on an actual date. That’s when I told her I was not a lesbian. I tried to be very polite and respectful, but got angry and stormed out of the funeral home.
After that she has been calling me at work accusing me of being cruel. She drives past at least once an hour when I am there, and has started sending letters and gifts to my apartment. How she found out where I live I don’t know. I’ve spoken to the police, but unless she is threatening me or invading my home there is nothing they can do.
I have never had anything like this happen before and I don’t know what to do. I wanted to go out there and tell her to back off, but my coworkers said it was ill advised. My brother did confront her and it turned ugly. Lucky the police showed up and prevented anything from getting out of hand. She stopped for a few weeks, and I honestly thought it was over, but she started up again. I wish she would just leave me alone. I don’t know for how long this will go on, but I pray for not much longer.