The integration of artificial intelligence (AI) into telehealth networks has revolutionized remote patient monitoring, enabling real-time data analysis and decision support across distributed healthcare ecosystems. However, the governance of these AI-embedded systems remains underexplored, particularly in ensuring ethical oversight, data interoperability, and risk mitigation within networked environments. This conceptual manuscript proposes a novel governance architecture designed specifically for AI-embedded telehealth networks, emphasizing modular layers for monitoring orchestration, ethical compliance, and adaptive feedback mechanisms. Drawing on theoretical foundations from clinical AI infrastructures and healthcare analytics, the architecture introduces a unique framework termed the telehealth AI governance lattice (TAGL), which incorporates layered structures for data ingestion, AI inference governance, and network-wide monitoring. Key components include interoperability protocols to facilitate seamless data exchange among electronic health records (EHRs) and wearable devices, alongside interpretive formulas for assessing governance load and decision confidence. The manuscript synthesizes recent literature on AI system architectures in healthcare, highlighting gaps in remote monitoring governance and proposing theoretical pathways for integration into clinical workflows. By focusing on conceptual dynamics rather than empirical implementations, this work offers a blueprint for enhancing trust, scalability, and resilience in AI-driven telehealth systems. Ultimately, the TAGL framework aims to address the complexities of distributed AI governance, fostering equitable access to remote monitoring while mitigating potential biases and security vulnerabilities in networked healthcare delivery.