The internet is a great place to find things out, and we found out the old meanings of the name “Staley”.

English: byname from Middle English staley ‘resolute’, ‘reliable’, a reduced form of Stallard.
Belgian French: from Old French estalee ‘fish trap’, hence possibly a metonymic occupational name for a fisherman, or topographic name for someone who lived near where fish traps were set.

Dictionary of American Family Names, Oxford University Press, ISBN 0-19-508137-4

No worries “Staleys” are resolute and reliable, but we’re not aware of any fishermen….