Here's a site owned by an American MacQuarrie - it may give you a bit more information. It would appear there is no chief of the Clan.
http://albanach.org/macquarrie/
If you want a bit more information, then you might be better to move your query to the 'Clans' forum on this site. Marhar has a huge amount of research at his disposal, and may be able to help you further. If you have any specific questions, ask them there and people will try to help.