The noble Youth informed us that his name was lindsay - for particular reasons however I shall conceal it under that of Talbot.

This line made me laugh. She has already told us his name, so there is no need for concealment.

'No! Never shall it be said that I obliged my father.'
We all admired the noble Manliness of his reply.

It says in the Explanatory Notes 'such a difference of opinion between fathers (or sometimes guardians) and offspring is traditional in comedies; for example, in Sheridan's The Rivals (1771), a play in which JA acted, Sir Anthony Absolute demands obedience in matters matrimonial from his son, Captain Absolute.' [Oxford World's Classics, Catharine and Other Writings]
But I'm still surprised that anyone would admire a man who has no wish to oblige his father, especially when there seems to be no reason for it other than to be disobedient on purpose.