Hopefully, our Navy Good Conduct Medal experts will jump in with some comments. But in the meantime, to get things started:
First, that "Washington" clasp is odd - not an official part of the Navy GCM.
The engraving "USS Pennsylvania" and the date 1908, means this was not the famous battleship USS Pennsylvania (BB-38), but rather USS Pennsylvania (ACR-4) or an armored cruiser. BB-38 was commissioned in 1916, at which time ACR-4 was re-named USS Pittsburgh.
BB-38 earned the "Atlantic Fleet" clasp. ACR-4 did sail in the Baltic from June 1919 until Sept 1919 on relief operations. The "White Sea" clasp was authorized for visiting Russian ports from Nov 1918 until 31 July 1919; so, it's possible ACR-4 did earn the "White Sea" clasp. Although, I could not find a list of ships specifically authorized the clasp. According the Navy's official history website, there were only 1000 "White Sea" clasps issued; so, yes among the most scarce Navy bars to the US Victory Medal. But I have seen legitimate ones for sale in the $300 range, so not unobtainable.
You have a name; so, further research (Ancestry) is very possible.
For me, a plausible and legitimate pair.