I would name them SS Voyager and SS Pioneer for the freighters, and SS Starlight for the Q-ship.
If I owned starships, they'd be named to reflect what I feel about space travel and exploration, which is a topic that is very important to me.
Voyager and Pioneer are named after the first two (sets of) space probes to be launched on trajectories out of our solar system. New Horizons has since joined them, but for me those two names will forever signify the human drive to explore. If I could hitch a ride on a true interstellar starship, I'd do so in a heartbeat, and I wouldn't be coming back until I'd seen absolutely everything there is to be seen.
The reasoning behind Starlight is a bit more personal. It refers to the sense of transcendent awe and wonder I feel when I'm outside, alone, at night, under the stars, contemplating the dizzying complexity and majestic beauty and endless wonders of this amazing universe we live in. It's almost a religious experience, and that sense of awe is really where the hunger for exploration and understanding comes from. The touch of Starlight is the universe to me.
