Family Guy isset in the fictional town of Qauhog, Rhode Island. The State capital of Pawtucket skyline can be often seen. However,that view is from the West, while Qauhog is supposed to have a shoreline which would place it to the East of Pawtucket. The city of Pawtucket has been reference many times as 'Pawtucket Patriot Beer', and Peter and his Father attend a Pawtucket Red Sox baseball game in 'Holy Crap' 
The Family Guy Studios are in the Los Angeles / Hollywood area but their exact address is unknown. It was revealed in the commentary for '8 Simple Rules for Buying my Teenage Daughter' that they share building space with the production of the show 'Blind Date'.  There is a cutaway scene parody of Blind Date in that episode and Seth MacFarland states that the sctual crew of Blind Date made the graphics for Family Guy. The bulk of the animation work is sent overseas to South Korea.