Slate tile and antique radios as a radon source? All great comments. While soil-gas is the likely suspect, if the home uses WELL water, then that could be the problem (measure a shower/bath room). Lastly, slate is metamorphized from shale, which is known to contain much more radium (Ra-226) than granite, and they have equivalent emanating factors. If you use an inverted bowl/box to measure flux from the slate, also measure something like ceramic tiles or maybe concrete for a "background" since some radon WILL be coming off the slate and you have to have context.