There were lots of Standard Oil brands after the breakup in 1911 or so. Some Google samples:
The company was split into 34 separate entities, mainly based on geographical area. Today, the biggest of these companies form the core of the U.S. oil industry: Standard Oil of New Jersey: Merged with Humble Oil and eventually became Exxon. ...Standard Oil of Indiana: Renamed Amoco, and was acquired by BP.
Standard Oil of New York – or Socony, merged with Vacuum – renamed Mobil, nowpart of ExxonMobil. Standard Oil of California – or Socal – renamed Chevron,became ChevronTexaco, but returned to Chevron. Standard Oil of Indiana - or Stanolind, renamed Amoco (American Oil Co.) – now part of BP.
There was also Standard Oil of Ohio - Sohio