If there is a male available have them do a y-dna test. It should give you your haplogroup (R1a, R1b etc.) & then you can check various dna websites to see if there are any matches (Family Tree, Y-search etc.). Both my husband & brother have found matches.
There is also a VERY new DNA test that that females can take to reveal cousins, grandparents and relatives up to 4-5 generations back. 23andMe and FTDNA www.familytreedna.com both offer them.
However, the data bases of people who have taken the test are still relatively small and you may not find a match. And they are still a little bit expensive.