this is fascinating... i'm just chiming in cuz i have a great aunt who had 12 boys and guess what her 13th was? a girl finally. she was also one of 11 kids the only girl... (but not the youngest) it would be an interesting study in RL to see patterns like what you describe.
i know when my family bred dogs when i was a kid we'd have litters with sometimes equal male and female, and often buyers would "hold" a female or male, and we'd have NONE!!! our dogs had large litters being german shephards and dobermans and english springer spaniels, but anyway just wanted to chime in.
i'm sorry it's frustrating