Yes, I name the ones I keep for myself.
My main machine is "Sunshine. " He's a Bernina 230, and my best friend.
My main serger is "Ben," short for Benevolence -- my boss practically gave him to me. He's a Bernina 800DL
My 1901 Singer treaddle is "Grandmother." She belonged to my Great Grandmother, who insisted that we call her, "Grandmother," not "Grandma."
My old White 534 serger is "Frank." My boss Frankensteined a needle plate for him.
My Mercury industrial has a big "M" on his end, so he's "Max."
My 158 Kenmore is "Nellie." She's sure and dependable.
My 60 lb. Kenmore is "Carol," named after her previous owner, who was a great example of unconditional love and hard work.