Texas is very specific about what’s allowed and since syrups are not on the list, I don’t think they’re allowed.
The purpose of the home address is so health officials can find where a product was made if there is a complaint. This is a common practice across the nation, and I’ve never heard of anyone who had an issue with it (though many have expressed privacy concerns). If you are uncomfortable placing your address on your labels, then you shouldn’t use the cottage food law, and instead use a commercial kitchen with a commercial license.