subordinate clauses - Is "even when" a subordinating conjunction similar to "even though"?

An adverb clause is a dependent clause that answers the question why? how? where? when?
Adverb clauses begin with a subordinating conjunction like when, because, even though.

Ex. Even though she could not drive, Bonnie's father bought her a new car for graduation.

(NOTE: You could write: Even when she could not drive...but that completely changes meaning of sentence. They are not interchangeable.)

Q: Is "even when" a subordinating conjunction as well? A google search often lists "even though", "even if" as examples but I haven't seen "even when" in any lists so far.

"Even when he is sick, she works."

1. So, is "even when" a subordinating conjunction introducing the adverb clause or is "even" an adverb qualifying "works"?





2. Typically you can move around adverb clauses. If so, which is the correct rewrite of the above to keep same meaning? (Subtle shift between each.)

She works even when he is sick.

She even works when he is sick.

Depending on the answers, is this grammatically sound?

"When he is sick, she even works."