Facebook fan traffic, Can It be from Google?

Hi BHW, I made a fan Page and gained over 20k fans. after that I noticed that my keyword is on top possition in google search engine. everyday my page gains 100-150 likes, but many of them comes to my fan page via google. So I have one problem. I have 20k + fans but Talking about us is 2k+. Can Someone tell me the defferent and working ways how to increase talking about us. If main likes comes from google. Sorry for my bad English. Hope you will help me )

Talking about this will go up from different ways.
Posting content that gets engagement increases it, Likes to your fan page increases it etc

Just post more content through the day and it will rise.

Hmm just post more things and talking about will go to sky

yes post few times a day to get more exposure even some cool images, then add polls to to involve more your audience, and when they vote it will be posted on their news feed which their friends will see it and you will have bigger traffic coming to your page