Disclaimer: This answer is quite speculative because I don't exactly understand
your experimental procedure or your data. And, after a (short) wait, I don't yet
have an answer to my question. If the answer is No, if you think I am
using your data improperly, or if you don't understand my analysis,
please leave a comment. At least, maybe we'll have a framework for
clarification, so we can start again.
If all six males are from Species b, then we could treat this
as a block design and do a Friedman test. The 'main effect' is Species
with three levels; the block effect is Males. It is assumed that Males
may react differently, and the Friedman test does not test for differences among Males. (An analogous situation is
that six judges taste three varieties of wine and give scores
to each. In this case 'scores' are numbers of courtship events.)
Here are results from a Friedman test:
a = c(4,5,0,8,5,13)
b = c(33,17,1,63,14,14)
c = c(5,1,0,7,6,14)
Friedman rank sum test
Friedman chi-squared = 8.4545, df = 2, p-value = 0.01459
So taken as a group, the males have a pattern of consistent preferences
among species. You don't have much data--barely enough to get significant results from such a rank-based test. Also two of the males stand out
as very different: #3 is remarkably non-frisky, and #6 is remarkably
non-discriminatory. So the small P-value indicating a clear difference
in preference is surprising.
By eye it seems that most of the males have some preference for species b.
A Wilcoxon signed rank (paired) tests find significant preferences of b over a and also of b over c. In both cases there are cautionary notes
about ties or 0's, so P-values are probably not exact. (In comparing b against a there are two differences of $1$; in comparing b against c, there is a difference of 0.)
The difference between b and a is stronger.
In wilcox.test.default(b - c, alte = "g") :
cannot compute exact p-value with zeroes
In wilcox.test.default(b - a, alte = "g") :
cannot compute exact p-value with ties
In doing such ad hoc tests
there is some danger of 'false discovery', and I judge the difference
between b and c to be only borderline significant (only 5 out of 6 males
showed a difference, and one of them only barely).