Among states, a “Supreme” court is a lower court (trial level) and an “appeals” court is the higher court.
I believe that depends on the state.
Some states use different nomenclature than others.
“Among states, a Supreme court is a lower court (trial level) and an appeals court is the higher court.”
In the State of New York the Supreme Court, County, Family and Surrogate courts are the lowest level. The Appellate Division is next, and the Court of Appeals is the highest court. But the State of New York is an anomaly. Generally the Supreme Court is the highest court of a State and the Court of Appeal, or Appeals, is below it.
In the vast majority of States, the State Supreme Court is the highest. Generically all of the highest State courts are State supreme courts.
You are almost entirely incorrect.
https://en.wikipedia.org/wiki/State_supreme_court
In N.Y., I believe that is true, but I don’t think that is universal.