I don't think Leo ever took credit for the solid body guitar, but he did make money making them. He was also the first to mass produce them. Les built his one-off "log" which was an Epiphone with a solid center block before Bigsby's solid guitar for Merle Travis. Others, notably Adolph Rickenbacher, had made solid body lap steels back in the 1930s, but as near as I have been able to determine, Paul Bigsby was the first to build a solid body "Spanish" guitar in 1946.
The Leo Fender bit I was referring to was the famous Fender Headstock design. ..it looks suspiciously similar to the Bigsby....