Actually Emperor Norton did not have dogs. it's a trick question.
Most say Bummer and Lazarus... but even tho these two dogs were indeed real and famed SF strays beloved by the city, they were mistakenly associated with Norton, mostly due to cartoons of the period of Norton, that on two occasions put them in the same image.
BUT if he DID have dogs.... what WOULD he have named them??????
SIDESHOW: Carnival of Smoke and Mirrors 2015 is looking for drop-in performers!! Do you have a freaky talent, skill or characteristic? Do you lay on a bed of nails, or swallow swords? PM me if interested.