Not much help, but a 1970s 1:50000 map shows the concentration of barrows at SE913458, with a couple more on the NE side of the Kipling Cotes Race Course line. The site appears to have been ploughed through by the (now dismantled) railway between Market Weighton and Driffield. There's another concentration at Etton Wold to the SE (SE936439) and another directly south at SE908415, with a long barrow nearby at SE905410). Haven't looked to see if any of these are on TMA.

The Elgee's "The Archaeology of Yorkshire" (1933 Methuen) doesn't specifically mention these, although (not relevant) it does mention another nearby round barrow being covered by the same stretch of railway (Kellythorpe Farm, Driffield) which contained an intact oolitic cist burial with a bronze dagger which preserved fragments of wooded handle and sheath. There were also three amber beads at the neck of the skeleton and a greenstone wrist-guard (for archery), originally secured secured by a leather band attached with gold-headed bronze pins and a bronze buckle. The head of a hawk lay above the knees and a beaker containing food offerings was placed at the feet.

There's no mention of your barrows in Grinsell's "The Ancient Burial Mounds of Britain" (2nd ed 1953 Methuen) either, although he also mentions the Kellythorpe burial. Both books indicate that the majority of Wolds round barrows were excavated by Canon Greenwell of Durham (1870s) and J.R. Mortimer of Driffield (late 19th century/early 20th). Both published their findings.

That's all I've got, sorry.