May I continue using a business name if one of my partners has disassociated herself from the business?

Question Details:

I was starting a business with 2 partners. We chose a business name then one partner decided she no longer wanted to be involved. She says we are not able to continue using the business name. The name was her husband's idea. I spent a lot of money and over 38 hours designing a logo, setting up a website, business cards, phone, email etc. The name was never copyrighted and we have finished the incorporation paperwork. Would my partner and I still be able to move forward using this name? We had no contract between us. The majority of money spent has been out of my pocket.

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