Sharon,I`m sorry you feel like that.If they are old and in a neglected part of the graveyard it could have been years since anyone read the names etc.They were meant to be looked at and read and in that way the people buried there are for a short moment remembered.
They are , I agree,in one way private but in another public, I`d like someone to read mine from time to time- however I` ve settled for cremation- because a neglected grave is a kind of reproach I think.
It worries and upsets those who can no longer attend them. I suppose I ,in my childish way understood that when I played and gardened in our local cemetery .Coming from a village where everyone knew everyone else and remembered the family no grave was ever without flowers or neglected. Of course there were very many fewer than the public graveyard I and my friends played in and tidied up in Manchester.
Don`t stop visiting, you never know who is aware you are there. Kind regards .Viktoria.