Do you mean that if you open a link in a new tab the the star on the Navigation Toolbar gets highlighted automatically without clicking this button?

Did this started recently?

Did you reboot the computer?

Do a malware check with several malware scanning programs on the Windows computer.

• https://support.mozilla.org/kb/troubleshoot-firefox-issues-caused-malware

Please scan with all programs because each program detects different malware. All these programs have free versions.

Make sure that you update each program to get the latest version of their databases before doing a scan.

• Malwarebytes' Anti-Malware:
  http://www.malwarebytes.org/mbam.php
• AdwCleaner:
  http://www.bleepingcomputer.com/download/adwcleaner/
  http://www.softpedia.com/get/Antivirus/Removal-Tools/AdwCleaner.shtml
• SuperAntispyware:
  http://www.superantispyware.com/
• Microsoft Safety Scanner:
  http://www.microsoft.com/security/scanner/en-us/default.aspx
• Windows Defender:
  http://windows.microsoft.com/en-us/windows/using-defender
• Spybot Search & Destroy:
  http://www.safer-networking.org/en/index.html
• Kasperky Free Security Scan:
  http://www.kaspersky.com/security-scan

You can also do a check for a rootkit infection with TDSSKiller.

• Anti-rootkit utility TDSSKiller:
  http://support.kaspersky.com/5350?el=88446

See also:

• "Spyware on Windows": http://kb.mozillazine.org/Popups_not_blocked

Still doing it after running all the software. Ever page gets add as a bookmark. If this can't be corrected, I'll need to go to Windows 10 browser.

Where (in what bookmarks folder) is that bookmark create?

Is that in the unsorted folder or in one of the others?

Can you confirm whether the star on the Navigation Toolbar gets highlighted?

In a folder I created. The star Does't get highlighted

What kind of folder is that?

Is that a so called smart bookmarks folder (place:) or a normal folder?

Smart folders show a list created by a query of the places.sqlite database that stores bookmarks and history in Firefox.

Just a regular folder. I created it when I imported my old bookmarks from my old computer which was running win7 and last years ver of FF.

I fixed it. Exported book marks, deleted folder, imported bookmarks, no more problems!!!!! Thanks for your help.