The best evidence is often testimony from uninterested persons. If you know people that will come to court to testify, try and get them to come. Declarations are sometimes allowed. I don't know what kind of lies are being told, but for example, if she says you did something on a particular day at a particular time, if you have any kind of document, like a receipt, a time sheet, photo, etc. that would show you were somewhere else on that day at that time, that would be good evidence to produce.
Anything that would tend to make her look less credible to a judge.
Mr. Spirtos gives good advice on types of evidence to dispute the TRO. I'm concerned by your statement that you've given her everything. That may lead her to expect you to continue giving everything. A court should be willing to intervene to establish how you can see your son without violating the temporary order. In fact, many courts will get upset with her for setting you up and being too controlling about seeing your son.
This answer does not create an attorney-client relationship. It is advisable to consult with an attorney with full disclosure of relevant facts for a comprehensive leagl opinion.