Nemesis Juggernaut writes:
Off the top of my head, probably because it was 1831 and they didn't exist. A watch was pretty sophisticated back then.
Definitely off the top of your head, (or rather, dogrelata's head, as I've just checked the O.P.) because Paley died in 1805. Actually, the quote is from 1802, which doesn't effect the point you're trying to make.
Whether a watch in 1802 or a modern space satellite, that it takes a lot of cultural evolution to produce Paley's analogy seems to be the point dog's making. However, I don't really see that the fact that we couldn't make things of a complexity comparable to what's seen in nature in the stone age makes the analogy any worse in the context of its times.
As no one had really come up with a viable alternative, intelligent design by an invisible designer was the standard view, and the young Darwin considered Paley's ideas to have merit, before he actually started looking closely at nature.
Who knows, as someone who still follows 200 year old outdated ideas, you may follow Darwin's route in the future, Nemesis, if you actually look closely enough at biology.