The coat of arms pictured is the 1933 civic arms, but the town dates back at least to 1269 (when it was part of the estate of Hartmann I of Sargans), and became a Free City in 1383.
In the nearby city of Ulm, there's a street, an alley, and a fort all named Albeck [link goes to map of Ulm - click on "albecker steige" in the menu to the left of the map].