There are tons of existing Roman era razors out there actually. Here's jsut the first one that popped up on a google search
http://www.hotlinecy.com/Antiquities/200046154796.jpg
"Ancient Roman Razor - This beautiful rare ancient Roman bronze zoomorphic shaving razor depicts two Griffon's heads. It has a beautiful green patina. It is completely intact except for the missing thin iron blade at the bottom, which has rusted away over the years. This item measures 68mm wide and is valued at $275.00. $125.00 including insurance and shipping. This item dates approximately 100ad and was excavated in Northern Italy" - Antiquities
And link to some other early styles and information.