Julius
Polite and friendly, he was already fond of those two. The knight even didn't disregard his title in spite of Julius' humble appearance. He had no wealth anymore to dress like a lord.
"It is my honor to meet you too, Lady Emiya." The courteous knight didn't reveal his name, but he didn't feel need to ask further about his identity. He maybe vowed to not reveal his true identity. Julius then continued, answering the knight's question. "I have been experiencing visions in my dreams about whatever or whoever may lurk here, and the closer I am to the threat I may better sense its malice. I am confident that the closer we are to what we seek, the easier it shall be track it down."
The Count was quite sure that the knight was a fine warrior, but was curious what such a lady was doing here, searching for the monster? His first guess was that she could have been a sorceress, warrior women were still an exception to the rule in Julius' mind. "Forgive my curiosity, Lady Emiya, but are you a sorceress? Magic certainly would be helpful if this threat cannot be vanquished merely by strength of one's arms."