https://www.wikitree.com/wiki/Stewart-27401
I did find many connections between Scottish Stewarts and English Magna Carta Barons.
Here is just one who immigrated to the British American Colonies
https://www.wikitree.com/index.php?title=Special:Relationship&action=calculate&person1Name=Clare-673&person2Name=Stewart-27401
There are a few. Wikitree+ searching finds: