One might think we named the Lincoln Satchel after President Abraham Lincoln.
Yes, the 16th president of the United States, was the first president born west of the Appalachian Mountains. And yes, his boyhood home was located at Knob Creek Farm, where the family lived from 1811 until 1816. And yes, you can visit his birthplace, located off of U.S. 31E, near Louisville, KY, which is part of the National Park System.
However, the Lincoln Satchel is named for Lincoln County, Kentucky.
Organized in 1780, Lincoln County was not named for the later president (b. 1809), but for the American Revolutionary War general Benjamin Lincoln.
Lincoln was one of the original three counties formed out of Virginia's Kentucky County. (The other two were Fayette and Jefferson counties.) These three were separated from Virginia to create the Commonwealth of Kentucky in 1792.
Benjamin Lincoln served as a major general in the Continental Army during the American Revolutionary War. He is notable for being involved in three major surrenders during the war: his participation in the Battles of Saratoga (sustaining a wound shortly afterward) contributed to John Burgoyne's surrender of a British army, he oversaw the largest American surrender of the war at the 1780 Siege of Charleston, and, as George Washington's second in command, he formally accepted the British surrender at Yorktown.
Places named "Lincoln" in the American South tend to be named after Benjamin Lincoln rather than Abraham Lincoln. Counties and/or towns in Alabama, Georgia, Kentucky, Missouri, North Carolina, and Tennessee are named in his honor, as are communities in North Carolina (Lincolnton), Vermont (Lincoln), and Maine (Lincolnville). Streets in Columbia, South Carolina and Savannah, Georgia bear his name, as does Lincoln Hall at the United States Coast Guard Training Center in Yorktown, Virginia.