Here is a website built and maintained by Keith Wendel (itsanonwingthing) which has a lot of historical stuff related to racing venues of all types located in the greater Cindinnati area, including the Lawrenceburg Speedway. It includes a number of now defunct tracks ( sadly) and might take awhile to click your way through to the info you're seeking. I use it now and then to remind me just how fickle my memory has become.

www.queencitymotorsports.com/