How to create an SPList by adding SPListItems from List ?

Can you try below code to get field name from item? It will iterate all fields of that item.

foreach (SPListItem listItem in list.Items)
        {
            foreach (SPField field in list.Fields)
            {
                object value = listItem[field.Id];
            }
        }

If it does not works for you then i would suggest use item.Url where you can split the URL to get list name.

Hope it could help

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Hemendra:Yesterday is just a memory,Tomorrow we may never see

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