R., one thing you have to remember is that she is 2, and YOU are the one in charge. Now is the time to take charge and let her know who is in control or otherwise can you imagine what things might be like when she is 15??? I know that may sound a little out there cause it's just bedtime right?? Well, the earlier you establish your role as a parent the easier it will be for you and her.
So, all you have to do is figure out what you want bedtime to look like, and consider what your little girl likes. Whether it be bathtime, a story, maybe a back rub, whatever. But decide on that, and stick with it. You may have to talk to your neighbors and explain there will be an adjustment period(maybe buy them some ear plugs as a friendly gesture) and ride it out. Since she is used to getting her way for so long there is no question that she is going to protest, scream, cry, yell, whatever. But if you stick to it she will soon find out that Mommy means what she says, and there will be a bedtime routine that both of you can live with.
I have a very strong willed 2 year old daughter, and we go through "battles" every now and then. We just have to decide the best way we know to deal with it (and many time explain choices, and consequences with her) and stick to what we decided. Many times it seems like it isn't working, and we wonder if it will ever work, but 9 out of 10 times if we just hang in there she eventually understands that what we have set down as boundaries are there, and we aren't moving on them, and so she complies. Lord knows, that it takes more work on the front end than giving in, but in the long run it is worth it for you and for her. When she sees Mommy being strong and standing up to her, she will feel safer and more secure for it. I really hope that helps. Let me know what happens!!