Medical teleconsultation with senior female patient. (Photo by: BSIP/Universal Images Group via Getty Images) A new study from the National Institutes of Health suggests that people who consume more fatty fish and fewer vegetable oils could reduce their monthly migraine headaches and make the pain less intense.The study, published in July in the BMJ, was comprised by a team of researchers from the National Institute on Aging, the National Institute on Alcohol Abuse and Alcoholism and the University of North Carolina at Chapel Hill.The team had previously studied the link between linoleic acid and chronic pain.