I have been researching my Scottish ancestors for a while now and yes I have found a Stuart connection.
Lachlan Bronneach MacLean,7th Chief of Duart was born in 1394 and died in 1472. His wife, Janet Stewart, was the daughter of Alexander Stewart. Janet Stewart died in 1485 and was the Granddaughter of King Robert Stewart the Second. King Robert's maternal grandfather was Robert the Bruce.