Accepting recent proposals for building modern E-health enterprise systems using grid computing technology, this paper presents a scenario for remote patient healthcare monitoring based on an experimental grid overlay. The paper presents an architectural model of the implemented Remote E-Health Monitoring System prototype, together with its associated sensor and actuator framework. In addition, a set of description languages [1-3] have been proposed and developed to providing a semantic layer to enrich health monitoring data exchanged between the requester (hospital), target (patient) and the e-health intelligence framework. For instance, intelligence services can perform personalized and predictive monitoring of individual patients. A case-study of pregnancy monitoring is used to illustrate the design and usability of such a grid overlay. Finally, the paper concludes with general remarks and a statement of further work.