How to get variable name of object inside class?

I have class A which stores ref to object B in BObject variable.

public class A
{
    public B BObject;
}

I want to get BObject ( name of variable ) in B class constructor.

Is there any way to do this ?

Purpose of doing it: I want to create ODBCFramework and I want to get Table Name based on Variable Name. ( Like in EntityFramework Context )

Update: I want to handle it in C#5.