ToBaseOrNotToBase.cs

class Program
{
    static void Main(string[] args)
    {
        Console.WriteLine("Child1: {0}", new Child1().Caller);
        Console.WriteLine("Child2: {0}", new Child2().Caller);
        Console.WriteLine("Child3: {0}", new Child3().Caller);
    }

    public abstract class Parent
    {
        public Parent([CallerMemberName] string caller = "Default")
        {
            Caller = caller;
        }
        
        public string Caller { get; private set; }
    }

    public class Child1 : Parent
    {
    }

    public class Child2 : Parent
    {
        public Child2()
        {
        }
    }
    
    public class Child3 : Parent
    {
        public Child3() 
            : base()
        {
        }
    }
}