I'm no expert on Hinduism- is Ganesh typically invoked for fertility?
Ganesh is about removing obstacles, not fertility. For instance, it's common for Hindus to have a Ganesh idol on their dashboard in order to get them out of traffic jams.
Infertility might be seen as an obstacle
"Let us praise Lord Ganesh;
He is the one whose mother is Goddess Parvati
and father is Lord Mahadeva (Shiva)
He is Ek dant - one who is single toothed
He is dayavant - the one who is kind and merciful
He is char bhuja dhari - one who has four hands
He is the one who always bears tilak on his forehead
and can ride even a mouse;
Let us praise Lord Ganesh.
He is the one who blesses blind with vision and diseased with healthier skin; He blesses Infertile with children
and loves and cares [for] poor people.
Let us praise Lord Ganesh."
I really hope some of our Protestant friends don't read the last post and get what can only be described as a really bad idea of how Orthodox Christians (at the very least as a whole) feel about prayers to Ganesha, Apollo, the Tooth Fairy...