Duke Park, originally part of Brodie Duke's large landholdings, was farmed by farmer Lee Perry during the early 20th century. It was also evidently used by surrounding neighbors to surface mine coal - Durham's primary heat source prior to its usurpation by oil/gas heat in the mid-20th century.
Per Jean Anderson, the Junior League was at least in part responsible for persuading Duke to donate the land for a park sometime in the 1910s. Duke owned most of the surrounding land, and had begun plotting streets and selling off building lots, primarily to the south of the current park, between Glendale and North Roxboro prior to his death in 1919.
The residential neighborhood of Duke Park, surrounding the park itself, came into its own in the 1920s with the rise of private automobile ownership. Large period revival homes and bungalows, in particular, were developed along adjoining streets.
There is little information about the park itself during this era - because the area immediately to the north, now occupied by I-85 was a natural ravine, the park likely had no distinct northern boundary, blending with the rural landscaped that stretched north to Bragtown. Most likely, the land stayed as it had been, although it's unclear whether grazing, farming, and coal digging still went on.
In the early 1930s, though, Duke Park became one of several Durham parks that were redeveloped by the Civil Works Administration and Emergency Relief Administration of North Carolina as agents for the Federal Works Progress administration. Jean Anderson notes that "CR Wood applied for Reconstruction Finance Corporation Funds to establish five recreation centers [in city parks]" I don't know who CR Wood was.
Evidently the construction at Duke Park was opposed by some of the tony new neighbors, who were likely not digging up their own coal and grazing their cows nearby. The opposition included Richard Wright, II who lived nearby at 1429 N. Mangum, and local lawyer Basil Watkins. Per Jim Wise, the opposition claimed that the park would attract "an influx of undesirable elements." Despite 75 names on a petition and a rant about cutting down trees for swimming pools, the trash produced by visitors, and the expense of maintaining the park, the anti-park posse lost.
Marshall Spears, chairman of the recreation commission, pushed forward with the construction of a pool, tennis courts, swings, shelters, stone entrances, and a bathhouse, all completed between 1933-1935.
These facilities appear to have been extremely popular through the 1940s and 1950s. I simply stopped scanning pictures of the Duke Park pool after awhile, as it appears to have been the reliable annual harbinger of summer for the crowds to arrive at Duke Park pool. Duke Park was segregated, as all Durham Parks were, and only accessible to white people.
I was rather surprised to discover the "Duke Park Water Pageant" in existence as early as 1949. I have no idea if the present-day "Beaver Queen Pageant" organizers were aware of this history of Duke Park, but, if not, it's rather amazing.

Duke Park Water Pageant, 08.11.49.
(Courtesy The Herald-Sun Newspaper)

Duke Park Water Pageant, 08.11.49.
(Courtesy The Herald-Sun Newspaper)

Duke Park Water Pageant, 08.11.49.
(Courtesy The Herald-Sun Newspaper)

Duke Park pool opens for summer, 06.05.57
(Courtesy The Herald-Sun Newspaper)

Duke Park pool opens for summer, 06.05.57
(Courtesy The Herald-Sun Newspaper)

Duke Park pool opens for summer, 06.04.55
(Courtesy The Herald-Sun Newspaper)

Duke Park pool, 08.23.56 - the headline was "Duke Park Pool with No Swimmers" - due to a polio scare.
(Courtesy The Herald-Sun Newspaper)

Duke Park pool, 06.17.57.
(Courtesy The Herald-Sun Newspaper)

Duke Park Pool, 08.09.61. I think this is probably staged. I'm putting this in primarily to show the bathhouse in the background.
(Courtesy The Herald-Sun Newspaper)
Evidently the bathhouse was renovated in 1962.

Inspecting the renovations, 06.07.62.
(Courtesy The Herald-Sun Newspaper)
The park seems to have fallen on harder times in the late 1960s and 1970s, as did many city parks. The reaction of the white populace to the integration of parks (not specifically Duke Park, but all Durham parks) was not to embrace change. I don't know of violence or similar - but community investment in parks declined.
Per Barry Ragin, the Duke Park pool closed in 1993 due to "irremediable maintenance issues" that related to the the pool developing a leak into the underground stream below it. I always have to suspect that anything is remediable with enough money, which, granted, Durham Parks and Rec rarely has. Sometime in the early 2000s, as part of the renovation of the play equipment at Duke Park, the pool was removed, and the hole filled in with dirt.
The 1933-34 bathhouse has remained shuttered for 15 years, despite the efforts, chronicled by Barry, of the surrounding community to lease the structure from Durham Parks and Rec for a community center. It seems that DPR has a desire to raze the structure, but hasn't done so due to community opposition. So they've opted for traditional option #3 = neglect. It's the standard practice of owners in these situations - if you can wait, try to get the structure to deteriorate enough so that 1) ideally, it falls down of its own accord, 2) you can get a pliable structural engineer to sound the chicken little-esque refrain of "unsafe! unsafe!".
Which is all a shame, because Duke Park clearly has the community resources to make this a thriving community center and, by doing so, save a historic structure that helps us remember some of the things we and our elected officials did last time the economic sky was falling.

A general shot of Duke Park, looking northeast, 01.17.09

Former Duke Park pool and boarded-up bathhouse, 01.17.09
Find this spot on a Google Map.
36.014318,-78.893752