Green’s Dictionary of Slang

smashing and removing a pane of glass in order to steal items from a shop display or to break into a house.

1848		Ladies’ Repository (N.Y.) Oct. VIII:37 317/1: Starlight Glaze, to rob the window of a house or shop, generally a jeweler’s shop [...] the thief advances cautiously to the door, and secures it on the outside with a strong cord. As the persons in the shop are generally around the stove, this is easily done. He then steps quickly to the window, breaks it suddenly, and grabs with both hands and runs.
1870		(con. 1800s) Leeds Times 7 May6/6: These youths practised [...] thirteen different ‘lays’ including [...] ‘starring,’ or cutting a hole in a pane of glass silently to remove watches or jewellry.
1970		(con. late 19C) K. Chesney Vict. Und. 135: Many young crooks learned the art of ‘star-glazing’ (much used by housebreakers) while robbing shops with a street gang.