Local bishop's vestment? (3)

I believe the answer is:
alb
This might be a double definition.
'local' is the first definition.
The definition and answer can be both man-made objects as well as being singular nouns.
Perhaps they are linked in a way I don't understand?
'bishop's vestment?' is the second definition.
(I've seen this in another clue)
Can you help me to learn more?
(Other definitions for alb that I've seen before include "Long white robe worn by proest" , "ecclesiastical garment" , "White clerical garment" , "Clerical vestment." , "the vicar might put on?" .)