From Evan Schaeffer's Legal Underground, reason two (of five) why an anonymous plaintiffs' attorney will turn down your case:
"If you call with a potential case and then drone on for 20-plus minutes straight without seemingly taking a breath, or allowing me a moment to ask a question, then I will probably turn you down. First, however, about five minutes into the call I will put you on speaker so others in my office can hear your advanced stage of logorrhea. My timer on my phone will also let me know if you beat the record for straight talking by a potential client without stopping. It's 28 minutes."
Among the other disqualifiers: saying that God wants the lawyer to take the case.