Looping through the Word docs programmatically, as spmaster_jack suggested is probably your best bet. Depending on your level of comfort with programming languages and IDEs, you might be better off creating an Excel macro to loop through the Word documents, copying their table info to the current spreadsheet.
This macro code may help point you in the right direction (taken from this question)
This macro should be inserted into Excel (not Word) and put into a standard macro module rather than into the worksheet or workbook event code modules. To do this, go to the VBA (keyboard Alt-TMV), insert a macro module (Alt-IM), and paste the code into the code pane. Run the macro from the Excel interface as you would any other (Alt-TMM).
Dim wdDoc As Object
Dim wdFileName As Variant
Dim TableNo As Integer 'table number in Word
Dim iRow As Long 'row index in Excel
Dim iCol As Integer 'column index in Excel
wdFileName = Application.GetOpenFilename("Word files (*.doc),*.doc", , _
"Browse for file containing table to be imported")
If wdFileName = False Then Exit Sub '(user cancelled import file browser)
Set wdDoc = GetObject(wdFileName) 'open Word file
TableNo = wdDoc.tables.Count
If TableNo = 0 Then
MsgBox "This document contains no tables", _
vbExclamation, "Import Word Table"
vElseIf TableNo > 1 Then
TableNo = InputBox("This Word document contains " & TableNo & " tables." & vbCrLf & _
"Enter table number of table to import", "Import Word Table", "1")
'copy cell contents from Word table cells to Excel cells
For iRow = 1 To .Rows.Count
For iCol = 1 To .Columns.Count
Cells(iRow, iCol) = WorksheetFunction.Clean(.cell(iRow, iCol).Range.Text)
Set wdDoc = Nothing
If you were starting anew with these Word documents, your best bet would be to use a Word feature called Quick Parts to link the information in those tables to columns of a SharePoint document library where the documents would be stored. Then simply filling out those tables in the Word documents would populate the column information in SharePoint (and contrariwise, updating the columns in SharePoint would update the information in the tables).
Also, be prepared to encounter the SharePoint 5000-item list view threshold. Apply column indexing to any columns on your list/library that you plan on sorting, filtering, or grouping by. Indexing any columns after a list has exceeded the threshold is painful.