I was able to find a 1930 US census record from Chicago, Illinois, USA that showed a Rachel Levensky, born in Jerusalem of Russian parents. It doesn't state her parents names. Her husband was listed as Michael, a book dealer. Their children are Esther, Judith, Joe, Ruth and Gilbert.
Her age is given as 38, her husband 48, in 1930. But a few columns forward, she says that she was married at 18 years old, her husband was 22. If her husband's age in 1930 was 48 years, he would have been born about 1882. If she was four years younger when she married, she would have been born about 1886. I think that this may be a case of a woman trying to appear younger, which is fairly common on these census reports, in my experience.
Given that her oldest child, Esther is listed as 18, Rachel would have been 30 by my figuring, when Esther was born. I would look for more children, one born when Rachel was between the ages of 18 and 30.
At least this gives you the name of five of their children, if you decide that this is the correct Rachel Levensky.
I've attached the census page here. If you can't read it for some reason, let me know and I'll be glad to email it to you.
Let me know if you think that this is the person that you are looking for.
in Tennessee, USA