There are a few subtle ways to identify a table despite it being moved around a document. No method is flawless but you can choose to 'tag' a table by:
- Setting the Alt Text property in Table Properties
- Adding a bookmark to a table
- Using a different table style applied to a table
- Reading the text in a particular cell
Depending on which method you choose to tag the table, the method of identifying the relevant table then varies. The bookmark has to be unique so it is direct whereas the other tagging methods would require you to loop through all the tables in the document to see if any have that attribute.