You are conflating who was natural born with inheritance laws. Talk about reading into it what you want it to mean!
Backpedaling on your part. The Blackstone quote submitted is, "The children of aliens, born here in England, are, generally speaking, natural-born subjects, and entitled to all the privileges of such."
I've just shown WHY Blackstone uses the disclaimer, "generally speaking." Blackstone later admits in his own words that English-born children of aliens IN FACT did NOT have all the privileges of English-born children of English subjects.