Yes, my machines do have names!
My vintage Singer 66 hand-crank is named Ambrozina, after my grandmother.
My hale-and-hearty little Kenmore, who does anything I tell her to and gives me no problems, is named Edna. That just sounded like a "sturdy" name to me.
My (new, not antique) Featherweight 75 is called Tinkerbell, because she's my lightest machine.
My Singer Quantum L-500 is named Paris Hilton, because she's high-maintenance and sometimes a bit difficult to get along with (although she has been behaving VERY well lately, thank goodness).
My newest machine is the Singer 160, and as soon as I took her out of the box, the first name that popped into my head was "Big Bertha"! So that's her name, the poor thing!