If you want to get all details of your wishlist product to anywhere in your magento you can get it easily.
For that you need to get current login user details like user name or user id, because we can load wishlist collection from user id, that is why we first we must need to get login details from session.

<?php
 $customer = Mage::getSingleton('customer/session')->getCustomer();
 if($customer->getId())
{
     $wishlist = Mage::getModel('wishlist/wishlist')->loadByCustomer($customer, true);
     $wishListItemCollection = $wishlist->getItemCollection();
     foreach ($wishListItemCollection as $item)
     {
           echo $item->getName()."</br>";
           echo $item->getId()."</br>";
           echo $item->getPrice()."</br>";
           echo $item->getQty()."</br>"; 
           $item = Mage::getModel('catalog/product')->setStoreId($item->getStoreId())->load($item->getProductId());
          if ($item->getId()) :
?>
<img src="<?php echo Mage::helper('catalog/image')->init($item, 'small_image')->resize(113, 113); ?>" width="113" height="113" />
<?php endif; } } ?>