Dennis;
What you need is India Ink from an art store. But not just any brand will do, you need Speedball brand from an art store or calligraphy supply store. Dick Blick art supply also sells a high quality India Ink. India Ink will turn any wood dead black and it doesn't take a lot either. India ink has shellac in it (to make it dry quicker) so be warned of that. Those two brands of India Ink are also an archival black, they aren't going to fade like other wood dyes or shoe polishes.
Try it, experiment with it, I think you'll find it makes a quite acceptable black as midnight black.
dave