Celtic music calls to me because it's part of my heritage, and something deep down inside recognizes the connections.
For those not privileged to be from the Appalachian region, here's an article, published a couple of years ago in the New River Voice and titled "The Celtic Influence on Appalachian Music," that explains the connections.
According to the article: "Depending upon the source, 40 to 60 percent of the settlers who nested into the Appalachian region were of Ulster-Scots descent, by far the largest ethnic group to call Appalachia home save for the Native Americans who had been here for quite some time. These settlers brought with them their cultural baggage, which included the many ballads, stories, and instrumental tunes from their Irish and Scottish heritage, much influenced by the Celtic tradition before their departure. Some of these tunes and lyrics go back to the bardic period of Celtic and British assimilation, thus culturally connecting Appalachia with its Celtic ancestry."
To learn more, read the rest of the article.