Minola
In "The Taming of the Shrew," Katherine's full name is Katherine Minola.
Minola
katherine
Katherina Minola, sometimes known as Kate.
It doesn't give his surname, but we know that his father's name was Antonio and that he came from Verona.
The father's name is Baptista.
He doesn't have one. Not all cultures use the given name + family name pattern you are used to. Sometimes people only have one name.
The only Lord in The Taming of the Shrew is in the Induction and is called "a Lord". We know the name of his page and of five of his dogs, but we don't know his name. None of the characters of the play itself are noble enough to be called "Lord".
It's really Hortensio in disguise under the false name of Licio.
The name Minola means clever. The name is a boy name and was also used in Shakespeare's works and meant taming of the shrew.
Romeo and Juliet and Taming of the Shrew both contain young lovers in Italy.
Catherine
There is no such thing. A baby shrew is called a baby shrew.