(They (went (to Oregon) (with ((Betty (a maid)) and (a cook))))).
((That (is (the (most natural) syntax))) and ((all (of us)) (should (switch (to it))))).
(They (went (to Oregon) (with ((Betty (a maid)) and (a cook))))).
((That (is (the (most natural) syntax))) and ((all (of us)) (should (switch (to it))))).
Many years ago working on natural language to SQL, when we had ambiguities this is how we’d clarify things with the user (albeit with the minimal amount of brackets necessary).
It looks like you might have learned how to diagram a sentence as a youth