Factor order within faceted dotplot using ggplot2

Here a solution using paste, free scales and some relabeling

library(ggplot2)
London.melt$medal.type<-factor(London.melt$medal.type, levels = c("gold","silver","bronze"))
# Make every country unique
London.melt$country_l <- with(London.melt, paste(country, medal.type, sep = "_"))
#Reorder the unique countrys
q <- qplot(x = count, y = reorder(country_l, count), data = London.melt, geom = "point") +   facet_grid(medal.type ~., scales = "free_y")
# Rename the countries using the original names
q + scale_y_discrete("Country", breaks = London.melt$country_l, label = London.melt$country)