About the only records you can get from the counties are deeds and probate records. The rest of the vital records are held by the State office in Dover.
Office of Vital Statistics
Division of Public Health
P.O. Box 637
Dover, DE 19903
(302) 744-4549
Fax: (302) 736-1862
To order:
Fee for search and verification of essential facts of divorce is $5.00 for each 5-year period searched. Certified copies are not available from the State office but should be available from the county where divorce was granted.