Hello K.! My daughter K., is also 2 years old. (She'll be 2 1/2 on the 19th!) For about her first 1 1/2 yrs of life, she never slept through the night. She started to when we lived in FL, and then we moved to UT! Our first mth here she wouldn't sleep at all. We moved into a house, and she started sleeping better, but still not through the night! We have a night light in her room, music playing, and our newest investment...a fan! She only gets up once a night, and that is totally ok w/ me!! She has always been a good sleeper as far as sleeping through noise, but I think the fan drains out the small stuff we may not think she is hearing. I don't know if this will work for you, but it might be worth a try!
Also you said you put her down in her crib? K. went into a toddler bed so easily. She actually got mad the first night we bought it because we didn't put it together and let her sleep in it right then. After the next day the crib came out, bed went in! I think it makes them feel less enclosed. And one good thing, she won't even get out of bed until we come and get her!! :)
Good luck!!!!