Not really. My Brother PQ1500 is "Big Brother" and my little Brother Disney embroidery machine is "Baby Brother". I don't have names for any of my other machines. Don't name my vehicles either, although I do sweet talk my Ford Expedition. She's almost 20 and has earned lots of love and attention.
My friend Cindi has a DSM and a longarm. She calls them Laverne and Shirley.