The queen had a father, but she lays an unfertilzed egg (fatherless) which results in a drone. I guess you could interpret this as asexual reproduction, worms do this as well as some other species of insects. only the female of this species needs a male to replicate. Also to further complicate this workers can also produce drones and they never mate,but now I am told some laying workers can produce females also--- a little confusing huh? I thought so.
Of couse you are joking.
Good to see you return Finman.