I found an error in my thinking and not to the better, the tv antenna if they are there do not have a large
enough wire ground to absorb a lightning strike. I too am unprotected. Now that i know this, i will replace the tv antenna with a lightning rod and braided cable. The entire thing including rod, cable, stand and clips will run less than 100 dollars. For a few dollars more I would go with copper, to me it is very beautiful when aged, but I fear thieves will want to take the copper wire to the ground and if i do not use copper to the ground I run into dissimilar metals problems.
It is another myth large trees will protect your house. In fact trees are such poor conductors of electricity the lightning often jumps to the house to find a better ground through the pipes and electrical wiring in the house.