Hamilton,
Thanks for responding. The issue occurs with most laptops running Windows 7 (Home and Professional are both cited). BOSE QC35 headset is not sold with a bluetooth dongle. Incidentally, BOSE also has taken the position that the QC35 is not guaranteed to work with any laptop, as it is intended for use with tablets and phones.
It seems from this thread that most of the technical issues are around getting the laptop(s) to "speak the same bluetooth language" as you put it. I have a DELL Latitude E6440, and I have not been able to convince it to talk to the Quiet Comfort headset. It appears to load drivers and recognize the headset, but does not "pair". Some people have made it work, with varying degrees of success, by re-installing drivers (INTEL drivers and/or Bluetooth). What I think we really are looking for is a definitive path to make this technology work nicely together consistently. Having to re-boot to connect your headset (that works for some), is not really practical, but for the vast majority of this thread's users (apparently), the BOSE QC35 is an expensive boat anchor as far as use with Windows 7. The BOSE QC35 DOES pair and work very nicely with Windows 10, installing, pairing and operating as expected.