Baseball cards aren't just for featuring baseball players. "Baseball cards" is also a generic name for a broader category of sports cards (hockey, football, and so on) and even non-sports cards (Wacky Packs, historical figures). Abraham Lincoln appears on many baseball cards, some of which include relics such as wood from his office, his signature, and even his hair. (I've written about an awesome Abraham Lincoln signature card.)
Upper Deck came out with a Hair Cut series in 2008 called "A Piece of History: Hair Cuts," which featured small hair clippings from prominent historical figures including Babe Ruth, Alexander Hamilton, George Washington, and our favorite: Abraham Lincoln.
Two Upper Deck A Piece of History Hair Cuts cards featuring Abraham Lincoln's hair are currently listed on eBay. One has been listed by s-c-debate since 2010 at a price of $10,000 or best offer. Another just came onto eBay, listed by DasCardHaus in April 2012, for $8,500 or best offer. The DasCardHaus listing also comes with the redemption card (a card inserted into the baseball cards pack, which the owner redeems for the card held by Upper Deck--or other manufacturers such as Topps).
Is it a little odd to collect hair? Actually, no. Certainly not today in the format of a very cool baseball card. In Lincoln's day, it was very common to request locks of hair from prominent figures. Collectors tied the locks with ribbon to save them.