I grew up in western Colorado, source of much of the country’s uranium. (Matter of fact, my dad worked for the Atomic Energy Commision as a geologist.)
After the ore was processed at the mines, there was lots of tailings left over; i.e., dirt that was surrounding the uranium. Someone had the wise idea of giving these tailings away as fill dirt. Well, because of the boom created by the uranium industry, there happened to be a lot of building going on in my hometown. So a lot of these tailings were used as fill for foundations for schools, churches, and other public buildings. In fact, the elementary school and Methodist church I attended both had tailings.
Years later, they realized their mistake and had to dig out all the tailings and replace it with non-radioactive fill. Besides public buildings, some homes were built on the stuff too. So teams went out to all the homes built in that era to test them.
When they came to my house, my dad escorted them around. Everything was going fine, until they rounded the corner where my bedroom was. The Geiger counter started clicking more. But why such an isolated spot? A natural source wouldn’t be so localized, and an artificial source (assumedly tailings) would be spread out more too.
Then my dad had a thought. He went inside and to my room. Spying a large mound of junk by my bed, he shoved it aside and found my mom’s gem and mineral collection chest. (Yes, my family has rocks in their heads.) Looking through it, lo and behold, he found a uranium ore sample, about the size you described, javaman. He took it outside and showed it to the team. Yep, it made the detector click faster, and when removed from my room, no longer made that corner of the house “hot”.
So: 1) my church was built on radioactive tailings; 2) my elementary school was built on radioactive tailings; 3) I slept next to a uranium sample for 18 years! But now, look at the link in my signature and tell me that my daughter is a mutant (not the Jack O’ Lantern picture). OK, she’s impossibly cuter than any child of mine should be, but I attribute that to my wife’s genes.