Hello
Yes Ehsa is Alhasa
I am using my accent again >.> sorry.
The silver work is from Alhasa, some swordmakers still exist there too!
I included an example from my collection. An identical, provenanced example I know of in a Saudi collection also shows that these are made in alHasa.
The ones made in Southern KSA are very similar but there are subtle differences. The silver wire wrapping on the cloth part is not circular like the shown example, but checkered (will provide photos) and the scabbard chape is upturned on southern examples.