YES!! Like THREE TIMES OVER! I have three who have all loved screaming so far. The youngest (my fourth) is only 11 months, so her screaming career has yet to be determined. My oldest grew out of the phase rather quickly, thank goodness. She only lasted a few months and then decided it wasn't getting her what she wanted. She didn't always scream when she was upset or needed something. Sometimes I swear it was just to hear herself or see what we would do. We went to NYC and Washington DC when she was a little over a year old. She sat in her stroller in one of the Smithsonian museums, and when we wouldn't let her get out and run around, she screamed at the top of her lungs. She was hungry and tired at the same time, so that didn't help. But these two young women (late teens, early twenties, maybe) gave me this look that I'll never forget. It was as if they were thinking to themselves "I can't believe what a brat that kid is!" HA! I knew right then that they didn't have any kids, nor did they probably babysit or care for young children. It still hurt though. It's not like I could control her screaming. She was only 1!
Anyway... on to my other two. They're twins. They're boys. And they don't talk exactly yet. They just turned 2 at the end of june and are starting to talk more, but one of them in particular is the big screamer. Both have done their fair share of screaming in the last year, but one of them just won't seem to "grow out of it." It's the most frustrating thing, because, like you, I swear the neighbors can hear them sometimes! Just last night, my one screamer twin would not eat his dinner, and was crying about one thing after another (his passie was on the floor, his blankets were on the couch, he dropped his spoon, his sister spilled her rice... whatever), and just would not be quiet. We took his chair and pushed it into the laundry room (attached to the kitchen) and shut the door. We could still hear him screaming, but not as loudly. We told him that when he stopped screaming he could come out. He was still crying when we let him out (about 2 minutes later- the time they usually spend in time out when they get in trouble) but he wasn't screaming. My husband asked him if he was ready to come out and he grunted his usual sound for "yes." We pushed him back to the table, and he started to eat. The screaming was over. At least for the time being.
So. Time outs have worked sometimes. Putting them in another room has worked. Ignoring my daughter's screaming in the car when we were on our trip to NYC worked after an irritating and headache inducing while, but it worked. I've also said that they can come talk to me when they're done screaming and kept about my business until they stopped. That one usually takes a lot longer, but always whoever the screamer is has relented and begun to "ask" in whatever way they can for whatever it is they want. The screams for no purpose go away more quickly with ignoring. It's the ones where they are upset about something or want something that take a little more care and attention and time to "train" them away from it. Anyway. I'm sure I have a lot more I could say about screaming, but this response is long enough. Feel free to email if you want to talk more or whatever. Good luck! Hopefully she'll give it up soon!