Conversation so far:
What is one astronomy discovery that was found by William Herschel?
In March 1781, during his search for double stars, Herschel noticed an object appearing as a disk. Herschel determined that it must be a planet beyond the orbit of Saturn
Did William Herschel teach at a university?
What other discoveries did William Herschel find besides the planet beyond the orbit of saturn?
Herschel discovered over 2,400 objects defined by him as nebulae.

Question: Do we know what methods he used to find the two moons?
Self-contained rewrite: Do we know what methods William Herschel used to find the two moons of Uranus, Titania, or Oberon?