So let me tell you about my plants and their names and stories.
Perhaps the most prolific plant in our garden is "the Donald". This is a trumpet vine that is trying to take over the entire neighborhood. I spend quite some considerable time yesterday going up and down a ladder cutting back the growth that was trying to climb both my home and the neighbors. BTW it is the "comb over" on top of the pergola that inspired the nickname.
Speaking of invasive we used to have a wonderful tea rose. However it too wanted to invade the neighborhood until it committed suicide by completely blocking the holes in the bottom of the pot it was in and then drowning in the fall rains. (I nicknamed that one Adolf

)
The Twins were a pair of arborvitaes that we purchased to go on either side of the gate. Only one survived and is now about 9' tall. We purchased a creeper that was on an A frame that insisted upon growing two curved "horns" each year no matter how often I pruned them so hence the nickname El Diablo.
Both Mrs Te and my father died within a year of each other and we were giving indoor plants on both occasions. Mrs Te named them Tim and Ron respectively. We also have small garden statues. The pig with wings is my favorite and the dove is named after my late nephew Graham.
So do you have names for your plants and do you talk to them?
[Edit] Following on Luddly's excellent post (#2) the OP is now expanded to include names for anything in your garden, including wildlife.