The recent progress of the Internet of Things (IoT) for various smart city applications into the Industry 4.0 resolution offers different advantages and challenges. E-healthcare is one of the vital applications of Industry 4.0 emerging as the Healthcare 4.0 standard for remote health monitoring. Healthcare 4.0 is originally a sub-class of Industry 4.0 standard. The Healthcare 4.0 standard consists of different layers such as edge layer, fog layer, cloud storage layer, and blockchain layer. For E-healthcare systems, the main challenges are concerning medical data security and privacy-preserving while processing the data from edge-layer to cloud storage layer via fog computing. The development of blockchain technology connected with cloud storage and edge layer offers strong security provisions. However, there are not enough experimental works available to address lightweight cryptography with blockchain implementation. In this paper, the robust framework of securing the medical data processing using blockchain connected with the cloud storage system has proposed. The medical data collected at the edge layer first encrypted using Elliptic Curve Cryptography using Elliptic Curve Diffie Hellman (ECDH). The encrypted data has stored in cloud storage, and then it is reflected in the blockchain. For signature generation and authentication of medical data, the Elliptic Curve Digital Signature Algorithm (ECDSA) has been designed. The experimental outcome of the proposed framework outperforms the state-of-art solutions.