'barq' comes from Barquentine who is a character in Mervyn Peake's 'Gormenghast' trilogy. Although 'barq' is pronounced like 'bark' I'm a cat person not a dog person.
The longer reason: I used to run an old-school dial-up bulletin board called 'Castle Gormenghast' (on 2400 baud modem!). Then there was another computer attached to it which needed a name, so that was Barquentine. Later it got moved to a different network and got shortened to Barq, people on the network started calling me 'barq'... so there you have it.
Sorry, missed this thread until today, been busy. I knew quite a lot of the reasons behind people's names, but many were new to me. It's always interesting however trivial or esoteric the reason.