The Network Printing from ASP.Net/C# can be done using:
If the Network is configured for Domain Users and Printer is added to print server:
- PrinterName to be defined as = "\\PrintServerIP_OR_Name\\PRINTERNAME"
Example:  PrinterSettings.PrinterName = "\\15.1.1.1\\prn001"
 
- Check the permission set on the Printer Access
 
- Which either be Domain Users or Everyone
 
- If Domain Users, then the C# code can be enclosed within the impersonation that can be used to call the print code which is as below:
 
/// <summary>
    /// Does the actual impersonation.
    /// </summary>
    /// <param name="userName">The name of the user to act as.</param>
    /// <param name="domainName">The domain name of the user to act as.</param>
    /// <param name="password">The password of the user to act as.</param>
    private void ImpersonateValidUser(
        string userName, 
        string domain, 
        string password )
    {
        WindowsIdentity tempWindowsIdentity = null;
        IntPtr token = IntPtr.Zero;
        IntPtr tokenDuplicate = IntPtr.Zero;
        try
        {
            if ( RevertToSelf() )
            {
                if ( LogonUser(
                    userName, 
                    domain, 
                    password, 
                    LOGON32_LOGON_INTERACTIVE,
                    LOGON32_PROVIDER_DEFAULT, 
                    ref token ) != 0 )
                {
                    if ( DuplicateToken( token, 2, ref tokenDuplicate ) != 0 )
                    {
                        tempWindowsIdentity = new WindowsIdentity( tokenDuplicate );
                        impersonationContext = tempWindowsIdentity.Impersonate();
                    }
                    else
                    {
                        throw new Win32Exception( Marshal.GetLastWin32Error() );
                    }
                }
                else
                {
                    throw new Win32Exception( Marshal.GetLastWin32Error() );
                }
            }
            else
            {
                throw new Win32Exception( Marshal.GetLastWin32Error() );
            }
        }
        finally
        {
            if ( token!= IntPtr.Zero )
            {
                CloseHandle( token );
            }
            if ( tokenDuplicate!=IntPtr.Zero )
            {
                CloseHandle( tokenDuplicate );
            }
        }
    }
    /// <summary>
    /// Reverts the impersonation.
    /// </summary>
    private void UndoImpersonation()
    {
        if ( impersonationContext!=null )
        {
            impersonationContext.Undo();
        }   
    }
    private WindowsImpersonationContext impersonationContext = null;
First make an call to impersonate the user and then call the print function that would look like below:
if(ImpersonateValidUser("username", "domain", "password"))
{
  PrintDetails();
  UndoImpersonation();
}