"Doc" wrote in message
She said after looking at pictures, she thought it would qualify as a
"partial hip"roof and said she's still trying to get corporate to give
me "somewhat of a discount".

This is the roof in question:

http://home.mpinet.net/~docsavage20/my_roof.jpg

Do you see any basis to call this anything but a gable roof?

Looks like a cross gable to me.



Since the binder reflects the amended amount she quoted me over the
phone, do I have any basis to hold the company to this since the lower
quote was based on the information this agent submitted?

A binder is just that. The insurance company has the final say, not the
agent.