There is an Oswego Co NW of Syracuse. It would be quit a haul from Albany Co. There is no Savanna in the Oswego County NYGenWeb search engine. It might exist, but I it is not big enough to be a township. There is also an Otsego Co in NY much closer to Albany. Otsego is west of Schoharie Co, where there are a number of SWARTs as well.
The first son of my William SWART was William Jr. born 20 Sep 1810 and married 26 Nov 1839 Avis GOLDEN in Rensselaerville, Albany, NY. That's all I know about him.
Your William should be on census records. Names of family members began in 1850. Also, search the internet on "William SWART." There are a number of them. Let me know if you tie into my family. No one else does - so far.