Professor Layton and the Curious Village.
Professor Sprout's first name is Pomona
mustard
Professor Fiendish's first name in the "Murderous Maths" series is Norman.
Horace
Quirinus.
The game is a single player game. The next game in the series is also a single player game. The name for the second game is Professor Layton and the Diabolical Box
The full name is Sybille Trelawney.
Minerva
Filius.
Yes it is possible to remove the your name, click on New Game, when you have watched the opening credits and answered the first puzzle you can overwrite your name with any name, i.e Puppy anything at all.
To set Professor Layton to the start, just click on New Player and overwrite your name when you get to " Save Game" to the new name you want to play with, make sure it's slightly different to the name you used in the first place.
Septima