Object doesn't stick on Camera right Corner?? (Basic Question)

Hello:), So i move an object close to the player (like a flashlight) And then i drag the object to the maincamera hoping that this object moves along with the camera. But when i do this, the object has a weird behaviour. When I move my view playing the game in the "y" axis rotation(looking to the left/right) the object looks fine, but when i look up, the object goes away, and when i look down the same... I just whant that the object stick to the camera and goes where i look like in a normal first person game.(Like the movement of the gun in a shooter, or a torch/flashlight in horror games, etc) Any ideas?

1) An image showing the problem:

2)Main Camera Settings:

3) My MouseLook Script:

 using UnityEngine;
 using System.Collections;
 
 /// MouseLook rotates the transform based on the mouse delta.
 /// Minimum and Maximum values can be used to constrain the possible rotation
 
 /// To make an FPS style character:
 /// - Create a capsule.
 /// - Add the MouseLook script to the capsule.
 ///   -> Set the mouse look to use LookX. (You want to only turn character but not tilt it)
 /// - Add FPSInputController script to the capsule
 ///   -> A CharacterMotor and a CharacterController component will be automatically added.
 
 /// - Create a camera. Make the camera a child of the capsule. Reset it's transform.
 /// - Add a MouseLook script to the camera.
 ///   -> Set the mouse look to use LookY. (You want the camera to tilt up and down like a head. The character already turns.)
 [AddComponentMenu("Camera-Control/Mouse Look")]
 public class MouseLook : MonoBehaviour {
 
     public enum RotationAxes { MouseXAndY = 0, MouseX = 1, MouseY = 2 }
     public RotationAxes axes = RotationAxes.MouseXAndY;
     public float sensitivityX = 15F;
     public float sensitivityY = 15F;
 
     public float minimumX = -360F;
     public float maximumX = 360F;
 
     public float minimumY = -60F;
     public float maximumY = 60F;
 
     float rotationY = 0F;
 
     void Update ()
     {
         if (axes == RotationAxes.MouseXAndY)
         {
             float rotationX = transform.localEulerAngles.y + Input.GetAxis("Mouse X") * sensitivityX;
             
             rotationY += Input.GetAxis("Mouse Y") * sensitivityY;
             rotationY = Mathf.Clamp (rotationY, minimumY, maximumY);
             
             transform.localEulerAngles = new Vector3(-rotationY, rotationX, 0);
         }
         else if (axes == RotationAxes.MouseX)
         {
             transform.Rotate(0, Input.GetAxis("Mouse X") * sensitivityX, 0);
         }
         else
         {
             rotationY += Input.GetAxis("Mouse Y") * sensitivityY;
             rotationY = Mathf.Clamp (rotationY, minimumY, maximumY);
             
             transform.localEulerAngles = new Vector3(-rotationY, transform.localEulerAngles.y, 0);
         }
     }
     
     void Start ()
     {
         // Make the rigid body not change rotation
         if (rigidbody)
             rigidbody.freezeRotation = true;
     }
 }