Home Google 

An internet search that should be searched at home, as opposed to work or school, where you searching could be monitored.

I wouldn't look up that page at work, it's definitely a home google.

Home Google by FirstClassJC September 22, 2009

Google Home 

The microphone Google uses for marketing.

Person 1: "Hey Google, I feel sick."
Google Home: According to Mayo Clinic, Malaise can have causes that aren't due to underlying disease. Examples include eating too much, drinking too much, inadequate sleep, feeling sad, missing normal exercise routine, or caffeine withdrawal."
Google Employee at Google Headquarters: "You hear that? Advertise medicine to them now!"

Google Home by HokoraYinphineMPP August 23, 2019