Hi, Interesting snag.
I assume you have managed to unscrew the bottom cap of the valve housing and the top of the valve (the sort of piston gland) so you can add soapy water to the actual valve ends? Also try removing the middle, short slide that connects to that valve to give greater access along the body of the valve and of course the 1st and 3rd valves and their tuning slides?
I played during my school years and I was lucky enough to always have THE best quality Boosey and Hawkes Sovereign silver plated instruments (the best in the world at the time – made in England of course).
Some people proposed the use of valve oil and all sorts of daft cleaning agents e.g., brasso!!! or silver polish but the way to clean an instrument is to use warm soapy water – preferably the bath. Try removing as many components as possible – slides etc and give it a hot soapy bath. The seizure might well have been caused by the use of the dreaded, nasty, valve oil.
PhilH