"Rotten Romans" does not appear in major game databases (BoardGameGeek, Pagat) as a published card game. It is likely a homebrew/homemade game (school project, family creation), a minor educational product (possibly a Horrible Histories tie-in with limited distribution), or a variant name for a known game (e.g., Roman trick-taking games, SPQR variants).
Most card games fit these archetypes—adapt as needed: