I was going to say the same thing: name of ship was "Thomas A Partridge" (it's written in quotation marks which is the clue). I don't think "Comet" is "Coroner" though - the last "r" is not consistent with the other rs in the rest of the document. Maybe there were two ships, only one of which has quotation marks around it?
I have no idea what the first name is! It looks like Elk or Shelk but it can't be (can it?!).
Here's what I think the second line says:
London M 30.3.1859, Comet, London, "Thomas A Partridge", Mart - Regn. 120, 1859.
Prue