Make a simple heatmap in R with ggplot2

So today I got a file that look like this:

And here's the end result of the heat map:

(Notice that the order of the Name in the chart is not the same as that in the dataframe.)

Here's the code I used to make this plot:

rm(list=ls())
library(ggplot2)

df = read.csv('fakedata.csv')

# reshape the dataframe
df.m = melt(df, id.vars = 'Name')


ggplot(df.m, aes(variable, Name)) +
  geom_tile(aes(fill = value),
            colour = "white") +
  scale_fill_gradient(low = 'white',
                      high = 'blue4')



This is how the df.m look like: