Another 3-way switch problem
I believe you have misidentified the terminals of the switches and miswired appropriately. I believe what you have identified as traveler 2 is actually the common “p” terminal. When switch one is down, your t1and t2 are connected and p is floating. Your second case is switch 2 feeding voltage back to switch 1. 

By the way, the 35 volts is phantom voltage being picked up by your high impedance voltmeter.