If you are incorporated, your state could very well have some requirements related to these issues. Normally, however, they would also be spelled out in your bylaws. But if they are not, you would still default to whatever the state law is.
If you're not incorporated, though, and the requirements aren't spelled out in your bylaws, I'm not sure what "legal" authority that person is referring to. I could be quite wrong, but I didn't think Robert's Rules addresses these types of specifics.
I am parliamentarian this year - one of our board members is saying that email votes are not allowed legally unless all board members actually vote unanimously for a particular item. Granted, email voting is a rare thing but has worked in certain occassions. In addition, this member is insisting that 4 days notice be given for any board meeting - it is a legal requirement. While certainly the courteous thing to do, I was wondering if anyone could weigh in on these?