|The Find-A-Record links appear in the top-right corner of the blue header box, just below the share links.|
If there are already sources cited for the birth, marriage, or death event then the respective search link will not appear. Johann Georg Koch has records cited for both his birth and death so only the marriage search link appears. The links also will not appear when there's not enough information to perform a search. James Moses only has a search link for birth because the place of marriage is not known, nor is anything known about his death.