I was first attracted by the cover as I love period pieces from the 1920s-1930s. You immediately became familiar with J.D. the wanna-be detective through her conversation with an insurance claims agent, which draws you into the story. But it has a few holes in the story.
J.D. has learned her trade from her mostly useless alcoholic dad. Rather than take on the jobs herself, she blows them all off to "protect her dad" and thus assist in running the business downhill fast. Other than mentioning their car model, there's nothing that draws me into the 1930s. The dialog is not retro. And fashion sense would dictate if the female heir is dressed in black, her gloves would be black as well to match her purse, shoes, and hat. Sorry, I'm into costuming and it bugs me when it's not era-appropriate.
The "greedy" heirs fit the murder mystery style with their bickering and pointing fingers at one another. There's the standard amateur sleuth who nearly gets herself killed, but she pulls through. Since this was just a short story there was little time to wonder who did it as it was quickly dropped at your feet. I would like to see this character fleshed out more in a full-length novel as she has the makings of a quirky sleuth who'd be fun to follow.