The second page of a long Word table starts with numbers but no column names. Copying the labels into the middle of the table creates extra content that can become stale. Word can repeat the original header when the table flows onto another page.
Select the actual header rows
In desktop Word for Windows, select the row or rows to repeat, including the table’s first row. Under Table Layout, in Data, choose Repeat Header Rows. The documented alternative is Table Properties → Row → Repeat as header row at the top of each page. Ribbon labels may differ by version or language; this concerns a table row, not the document’s page header.
Work on a copy with enough sample rows to cross a page automatically. Switch to Print Layout or print preview: repeated table headers are visible in that layout or on printouts. Check that the first data row on page two still belongs to the right column.
Check how the page break was made
Microsoft notes that the header does not repeat across a manual page break inserted inside the table. Inspect that break before adding duplicate labels. Edit the header on the first page; its repeated appearances are not separate editable copies. Save, reopen and inspect the intended printed pages. This is a proposed document check, not a claimed hands-on Word test.