The "35" likely reference station or office 35 in a large city or a smaller city with many military offices (think ships).
Now Jim Forte has on his website as a service to collectors, not just customers an Post Office search function where you can search by name or just some letters and I assume numbers. I will do that later because I do not know if numbers work. HOWEVER go check it out yourself and play. Seach for your town name and see how many such towns are in the USA.
Edit:


Oh well....
The "35" in your cancel may not be part of a Post Office name but just a cancel device designation. I am done, perhaps others have more.
You can also figure this usage was in the 1947-1950 range and check the listings of post offices and naval ships in the annual July USPOD Postal Guides of 1947, 1948, 1950 and 1951. They can be found on stampsmarter.com.