Here are the results of a 29 July 2006 quick-and-dirty calculation to
put a lower bound on the number of mutually distinguishable birthday 2 (or less)
misere partisan games.  

There are 4 misere partisan games born by day 1 (just as in normal play).
By day two, just 22 normal play games are born \cite{wolfe}, but in misere play, there
are at least 123.

An upper bound on the number of mutually distinguishable misere partisan games born
by day two is is $2^4 \times 2^4 = 256$.

* * * *

123 mutually pairwise distinguishable games were found:

0 = {{},{}}
{{}, {star}}
{{}, {-1}}
{{}, {-1, star}}
{{}, {-1, 1}}
-1
{{}, {0, star}}
{{}, {0, -1}}
{{}, {0, -1, star}}
{{}, {0, 1}}
{{}, {0, -1, 1}}
{{star}, {}}
{{star}, {star}}
{{star}, {-1}}
{{star}, {-1, star}}
{{star}, {-1, 1}}
{{star}, {0}}
{{star}, {0, star}}
{{star}, {0, -1}}
{{star}, {0, -1, star}}
{{star}, {0, 1}}
{{star}, {0, -1, 1}}
{{-1}, {0}}
{{-1}, {0, star}}
{{-1}, {0, -1}}
{{-1}, {0, -1, star}}
{{-1}, {0, 1}}
{{-1}, {0, -1, 1}}
{{1}, {}}
{{1}, {star}}
{{1}, {-1}}
{{1}, {0}}
{{1}, {0, star}}
{{1}, {0, -1}}
{{1, star}, {}}
{{1, star}, {star}}
{{1, star}, {-1, star}}
{{1, star}, {-1, 1}}
{{1, star}, {0}}
{{1, star}, {0, star}}
{{1, star}, {0, -1}}
{{1, star}, {0, -1, star}}
{{1, star}, {0, 1}}
{{1, star}, {0, -1, 1}}
{{-1, 1}, {}}
{{-1, 1}, {star}}
{{-1, 1}, {-1, star}}
{{-1, 1}, {-1, 1}}
{{-1, 1}, {0}}
{{-1, 1}, {0, star}}
{{-1, 1}, {0, -1}}
{{-1, 1}, {0, -1, star}}
{{-1, 1}, {0, 1}}
{{-1, 1}, {0, -1, 1}}
1
{{0}, {star}}
{{0}, {-1}}
{{0}, {-1, star}}
{{0}, {1}}
{{0}, {-1, 1}}
star
{{0}, {0, star}}
{{0}, {0, -1}}
{{0}, {0, -1, star}}
{{0}, {0, 1}}
{{0}, {0, -1, 1}}
{{0, star}, {}}
{{0, star}, {star}}
{{0, star}, {-1}}
{{0, star}, {-1, star}}
{{0, star}, {1}}
{{0, star}, {-1, 1}}
{{0, star}, {0}}
{{0, star}, {0, star}}
{{0, star}, {0, -1}}
{{0, star}, {0, -1, star}}
{{0, star}, {0, 1}}
{{0, star}, {0, -1, 1}}
{{0, -1}, {}}
{{0, -1}, {star}}
{{0, -1}, {-1, star}}
{{0, -1}, {1}}
{{0, -1}, {-1, 1}}
{{0, -1}, {0}}
{{0, -1}, {0, star}}
{{0, -1}, {0, -1}}
{{0, -1}, {0, -1, star}}
{{0, -1}, {0, 1}}
{{0, -1}, {0, -1, 1}}
{{0, 1}, {}}
{{0, 1}, {star}}
{{0, 1}, {-1}}
{{0, 1}, {-1, star}}
{{0, 1}, {1}}
{{0, 1}, {-1, 1}}
{{0, 1}, {0}}
{{0, 1}, {0, star}}
{{0, 1}, {0, -1}}
{{0, 1}, {0, -1, star}}
{{0, 1}, {0, 1}}
{{0, 1}, {0, -1, 1}}
{{0, 1, star}, {}}
{{0, 1, star}, {star}}
{{0, 1, star}, {-1, star}}
{{0, 1, star}, {1}}
{{0, 1, star}, {-1, 1}}
{{0, 1, star}, {0}}
{{0, 1, star}, {0, star}}
{{0, 1, star}, {0, -1}}
{{0, 1, star}, {0, -1, star}}
{{0, 1, star}, {0, 1}}
{{0, 1, star}, {0, -1, 1}}
{{0, -1, 1}, {}}
{{0, -1, 1}, {star}}
{{0, -1, 1}, {-1, star}}
{{0, -1, 1}, {1}}
{{0, -1, 1}, {-1, 1}}
{{0, -1, 1}, {0}}
{{0, -1, 1}, {0, star}}
{{0, -1, 1}, {0, -1}}
{{0, -1, 1}, {0, -1, star}}
{{0, -1, 1}, {0, 1}}
{{0, -1, 1}, {0, -1, 1}}