Unfortunately my 2006 book is not organized the way you describe, but here are the two entries that seem possible, copied verbatim so details may have changed re: times and perks:
Caffe dello Studente is a lively spot popular with local engineering students attending the nearby U. of Rome. Pina, Mauro, and
their perky daughter Simona (speaks English, but you can teach her
some more) give my readers a royal welcome and serve typical bar
gastronomia fare: toasted sandwiches and simple pastas and pizzas.
You can get your food to go (da portar via); sttand up and eat at
the crowded bar; sit at an outdoor table and wait for a menu; or - if
it's not busy- show this book when you order at the bar and sit
without paying extra at a table (Mon-Sat 7:30-21:00, Sun 9:00-18:00,
tel 06-488-3240) [note: intro paragraph says it is on Terme di Tito)
Ostaria da Nerone, next door, is more of a restaurant: less friendly and more aggressive. Their 7 euro antipasti plate is the
est value; add 2 euro and you get meat and shellfish (Mon-Sat
12:00-15:00 and 19:00-23:00, closed Sun., indoor/outdoor seating. Via
delle Terme di Tito 96, tel 06-481-7952, run by Teo)