Too Many Detectives - Lines
Which means that you had a benficiary. One who you relied on to keep up on your appearence. Which was Madame Doyle, wasn’t it? And when you found out she was broke, you snapped, knowing that you could no longer afford your fancy clothes. Thats when you pushed her off the ledge.
For as you admitted, you were in dire straits. Strapped for cash. Which means you’d work for anyone, including Madame Doyles creditors. They were the ones who told you that she was more valuvable to them dead than alive. Because her life insurance policy was worth millions! So you did the deed for them, didn’t you? DIDN’T YOU?!?!