Seneschalship is a term that refers to the role of a seneschal, which is a person responsible for managing a large estate or household. The term may not be widely used in modern language, but there are several synonyms that can convey the same meaning. Some of the synonyms include stewardship, overseership, management, administration, and governance. Additionally, terms such as housekeeping, house management, and estate management can also be used to convey the sense of the term. These terms are often used in job titles and professional settings to indicate a person responsible for the proper management and upkeep of a large property or organization.