The increasing efforts are still in progress to establish existence and to investigate the properties of pairs of Extensive Air Showers (EAS) that can be considered as originated from a single event which produced the Cosmic Radiation (CR) particles that in turn initiated both showers. Considerably remote CR installations observing EAS events are particularly useful for this purpose. The estimation method is proposed for determination of such EAS pairs, observed by a pair of mutually remote installations and initiated by two initial CR particles, which can be regarded as historically proximal and possibly congenetic. The numerical example of application of this method is given using a toy simulation sample of showers.