"original responsibility" is correct and usable in written English.
You can use it to refer to a situation in which someone has a specific duty or obligation due to their role or status. For example: "Alice had the original responsibility for ensuring the project ran smoothly".
Her report does not explain why she chose to delegate that decision to Mr. Soares, except to note that Mr. Soares, as district attorney, has "original and ultimate responsibility for prosecutorial decisions regarding crimes and offenses arising in Albany County".
Sally, per the original agreements, assumed responsibility as the child's legal parent and eventually took the baby to California, where he continues to live and care for the child.
Since Carroll proposed his original four levels of responsibility in 1979, and later in 1991, reworked them into a pyramid, business has become increasingly globalised.
Shadow transport secretary Maria Eagle said the cabinet ministers involved in the original process should take responsibility for its failures "instead of blaming officials".
The original county council's responsibility for services within the majority of the conurbation were curtailed and association with the historic shire was for ceremonial purposes only.
Q: This legacy with actor Jeff Bridges, star of the original TRON, puts another responsibility on you, especially in having the director of the previous movie as your producer.
JR, Original conceptual design; primary responsibility writing the paper.
MCvSP and JTvdS had full access to all data in the original study and take responsibility for the integrity of the data.
Present generations possess duties and responsibilities whose original reasons, if they were ever apparent, are now lost.
