Conversation Mockup and Name Tag Query

I get paranoid between overduing name tags and not putting them enough. Take this little section as an example (and obviously the context won't be fully understood, since a lot leads up to it, but that doesn't matter for our purposes here):

"Is that too much to ask?" says Jesse.
“Yes,” answers Matt. “A ridiculous expectation!”
Brent suddenly enters the conversation: “A Turkish girl I met last night has a fiancée in Turkey, and she’s kept herself completely honest for him, and trusts him completely to do the same.”
“Turkish?” asks Matt.
“Yes.”
“Was her name Seda?”
Brent stops short in his tracks and they do the same. Jesse has an uneasy look on his face.
“Yes.”
“Ah. Nice girl,” says Matt.

Is it clear from this, without confusion or awkwardness, that it is Brent who is answering "Yes" to Matt both those times?

Thanks.