Links created by Table Link are actually special formulas with references back to the table and cell that it is linked. When you insert rows in the table, the cell addresses of all rows below the inserted rows change.   In an Excel spreadsheet, Excel automatically updates cell addresses in the affected formulas when rows or columns are inserted to preserve the intended cell references. Word, however, is not a spreadsheet. It doesn't have the built-in intelligence to adjust formulas for cell reference changes.  The easiest way to correct this is to use Table Link to recreate the links.