The census taker used quotation marks on this line indicating that the surname was Rogers. But perhaps the surname was Farrus. This is only a guess on our part. Two names appear on this line. All the other writings of the name appear to be Frances.
Quotation marks make it appear that the gentleman's last name is Parsons.
But it is possible that his last name was Patterson and the census taker did not include his first name or initial. The same is true of the next man, W. W. Young. Quotation marks have been written to the left of the name, Young, indicating that his name might have been W. W. Young Parsons. Spelling should be Sigle. Thus this may be her real surname.