Rod,
I'm going to attempt to give clear directions to Bellissimo,so bear with me.
If you go from the direction of the Old Port,which is where the main car park is,or if you go on the coach with San Stef Travel
cross the road taking extreme care to avoid speeding taxis and scooters,go past The Black Cat restaurant(a well known landmark)
and that will take you to the main shopping street the Nikiforou Theotoki,where all the Tshirt and touristy shops are.
A few hundred yards along on the left hand side you will come to the alleyway which leads to Bellissimo.At the entry to the alley there is pharmacy sign(green cross on a white background) also another sign on the wall advertising a solicitors office.
I hope you find it,it feels like a peaceful little oasis in the hubbub of Corfu Town,a pretty little square and the food's not bad either .