As kh1958 noted, It's the Blues Man is probably the best introduction to Eddie Kirkland's music. There are a couple of good cuts on the o/p Relic collection, 3 Shades of the Blues, and some early recordings on King and Modern turn up on compilation CDs. His best later recordings can be found on JSP and Trix.
In general, Eddie Kirkland was stronger as a live performer than as a recording artist. It seemed as if he needed a strong producer to focus his energy and material and make good records. Rarely happened imo.