I am trying to obtain cell phone records specifically numbers dialed and received from
A particular cell phone. Is there a company or site that does this? What do I do?

Usually you would obtain call history from the cell phone company in general. However its not open records to anyone you would need to be a user on the account.

Contact your cell phone provider and ask for a detailed statement. All calls made and received should be on that statement.

If this is not your phone, or your account, I am sorry, but you cannot get that information as it is private.

It sounds like you want someone else's record, in that case, no you can't get them