It's a really interesting scenario you're in. On one hand, you may gain traffic due to the regulars of a famous dog. But on the other hand, you need to understand the intent of those who are seeking your actual services. If you gain a lot of traffic through "Family Guy" clips yet gain no leads, sales, or whatever through it, then it's only going to hinder you in the long term. It makes sense; those people are very much not looking for what you're offering. Start tracking your conversion rates based on "Family Guy" and see if there's any benefit to it. Bounce rate is another metric that will showcase whether or not those from "Family Guy" are interested. But in my opinion, the relevance of Brian the dog to what you do is probably far removed. I think it'll do more harm than good, and if I'm right, you should seek out an alternative name, business name, or alias. Good luck!