Falsely accused and don't know what to do.

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My partner thinks I e-mailed his ex and his daughter with rude anonymous e-mails and reckons he can trace the IP to my computer. I know I didn't do it and have told him so repeatedly and he doesn't seem to believe me and I'm getting seriously stressed out over it. I'm 5 months pregnant and have 2 teenagers living with us this year and my own son who is two. It's all just getting overwhelming and getting to be too much and I'm starting to have panic attacks about it. If the person who IS e-mailing them doesn't stop, they are all just going to keep thinking it's me and it will cause bigger and bigger rifts in my family. Is there any way I can find out who's really doing it? How could they have the same IP as me? Could they e-mail from another computer and set it up to look as though it'd come from me? If anyone out there has any advice, I'd really appreciate it. I've even considered contacting INTERPOL, but they or the police would probably just see it as a family issue and would have more important things to do. It will seriously drive me nuts if it doesn't stop and to go on feeling that my man doesn't believe in me.