[The access point was closed sometime prior to June, 2016]
The North and South Forks of the Elkhorn come together in Frankfort, KY, at the aptly named Forks of the Elkhorn.
There [was] a marked public access point, with parking, along Hwy 460 near Scruggs Lane (see map below). Access to the stream is across a small field (no trail), and down into the creek bed. This is a decent spot for putting in a kayak or canoe, if the water levels are high enough.
Dam at Forks of the Elkhorn. Portage right if paddling.