Hi, jwebgirl and welcome to our forum! It should have the VIN number on the tongue. It will be stamped on the curbside. Also, there is a small plate inside the tongue on the street side that will have the VIN number.
Edit: I just saw your pics. I'm not familiar with later model Shastas. I'm guessing it is late 70's. Do you have interior pics? Look under the sink and see if it has a date stamped on it. There is a Facebook page for new and old Shastas. You might find some info there.
Your trailer looks to be 70s to me too. I don't believe Shastas were that large until the mid 70s, maybe others will chime in here. Also, our member Ross has a VIN section on our Shasta board. He is our resident guru...
By quick comparison it looks very similar to the 19-ft Starflyte model. The one pictured above is a 1971. I believe yours to be about a '73-'75 model. They had changed the emblem to the plastic-mold with the black finish like yours, and had the stripe that went over the top of it, like this:
(The stripe below was originally a light-yellow color).
Some reference of the interior layout would help a lot in positively identifying the model, but from what I can find, my guess is a 1974 Starflyte 19-ft.
This looks like the floorplan. The pics I have of the inside are not good to much junk. I will try to find the vin next week. Thanks for all the info. I am going to try to revamp it for my cupcake/old fashion ice cream bussines. This is what I am going for