Internet Archive has many digitized books related to Providence County History and cities in Providence County, Rhode Island.
County Histories generally give information on the settlement of an area, geography, government, and industry in an area, and sometimes include biographical sketches of citizens or other information about the local residents. Some even include genealogies.
Providence County Histories and histories of cities, peoples, and organizations in Providence County, Rhode Island include:
History of Providence County, Rhode Island, Volume 1, published 1891
History of Providence County, Rhode Island, Volume 2, published 1891
Documentary History of Rhode Island, Volume 1, 1916 (Being the History of the Towns of Providence and Warwick to 1649 and of the Colony to 1647)
Burrillville; As It Was, And As It Is, published 1856
A Brief History of the Town of Glocester, Rhode Island, 1886
Discourse Delivered at Providence, August 5, 1836, in Commemoration of the First Settlement of Rhode Island and Providence Plantations, 1836
The Early Records of the Town of Portsmouth, published 1901
Documentary History of Rhode Island, Volume 2, 1919 (Being the History of the Towns of Portsmouth and Newport to 1647 and the Court Records of Aquidneck)
History of the Town of Smithfield, published 1881