A general solution for the boxplot for the entire dataframe, which should work for both seaborn and pandas as their are all matplotlib based under the hood, I will use pandas plot as the example, assuming import matplotlib.pyplot as plt already in place. As you have already have the ax, it would make better sense to just use ax.text(...) instead of plt.text(...).
In [35]:
print df
V1 V2 V3 V4 V5
0 0.895739 0.850580 0.307908 0.917853 0.047017
1 0.931968 0.284934 0.335696 0.153758 0.898149
2 0.405657 0.472525 0.958116 0.859716 0.067340
3 0.843003 0.224331 0.301219 0.000170 0.229840
4 0.634489 0.905062 0.857495 0.246697 0.983037
5 0.573692 0.951600 0.023633 0.292816 0.243963
[6 rows x 5 columns]
In [34]:
df.boxplot()
for x, y, s in zip(np.repeat(np.arange(df.shape[1])+1, df.shape[0]),
df.values.ravel(), df.values.astype('|S5').ravel()):
plt.text(x,y,s,ha='center',va='center')

For a single series in the dataframe, a few small changes is necessary:
In [35]:
sub_df=df.V1
pd.DataFrame(sub_df).boxplot()
for x, y, s in zip(np.repeat(1, df.shape[0]),
sub_df.ravel(), sub_df.values.astype('|S5').ravel()):
plt.text(x,y,s,ha='center',va='center')

Making scatter plots is also similar:
#for the whole thing
df.boxplot()
plt.scatter(np.repeat(np.arange(df.shape[1])+1, df.shape[0]), df.values.ravel(), marker='+', alpha=0.5)
#for just one column
sub_df=df.V1
pd.DataFrame(sub_df).boxplot()
plt.scatter(np.repeat(1, df.shape[0]), sub_df.ravel(), marker='+', alpha=0.5)


To overlay stuff on boxplot, we need to first guess where each boxes are plotted at among xaxis. They appears to be at 1,2,3,4,..... Therefore, for the values in the first column, we want them to be plot at x=1; the 2nd column at x=2 and so on.
Any efficient way of doing it is to use np.repeat, repeat 1,2,3,4..., each for n times, where n is the number of observations. Then we can make a plot, using those numbers as x coordinates. Since it is one-dimensional, for the y coordinates, we will need a flatten view of the data, provided by df.ravel()
For overlaying the text strings, we need a anther step (a loop). As we can only plot one x value, one y value and one text string at a time.