National Archives: Record Group 135: Public Works Administration; Projects Control Division; Entry 52: Indices to Non-Federal Projects; Report No. 5: Status of All Completed Non-Federal Allotted Projects, pp. 118-122: State of Virginia, January 3, 1940. Retrieved from the US National Archives in 2014 by Evan Kalish. These documents cover “non-federal” projects through the years 1934-1939; non-federal means projects that were conducted by states, cities, towns, counties, or institutions financed by the federal PWA. So (for example) they do not including Navy ships built at Norfolk or Newport News. Bear in mind that the PWA is only one New Deal agency out of many; countless other projects were done by the CCC, WPA, Department of Treasury, Department of the Interior, etc. And also that the PWA continued to fund projects for 3 or 4 more years after 1939.
324 projects are listed. The contents of the columns appear to be printed by an IBM alphanumeric tabulator or accounting machine (most likely a 405) and pasted into the form. The space for project identification is extremely limited: 13 characters for the location and 10 for the type of project. Nevertheless, many are precise enough, e.g. hampton city hall. The last column shows the year the project was completed as a single digit (e.g. "4" = "1934").
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These documents do not identify individual products, only the type of project, e.g. "school", "waterworks". A project's docket number should link to other records where the details can be found, but unfortunately those records have not been found (reportedly some of them were accidentally discarded). Nevertheless, entries like Location: HAMPTON, Type: CITY HALL, leave no room for doubt. See the sortable table for detail about the type codes.