Del. Const. art. XV, § 1
The Chancellor, Judges, and Attorney General shall be conservators of the peace throughout the State; and the Sheriffs shall be conservators of the peace within the counties respectively in which they reside.
57 Del. Laws, c. 291 and 58 Del. Laws, c. 110; 84 Del. Laws, c. 281 and 85 Del. Laws, c. 5;