We present Log N -- Log S distribution for close-by young isolated neutron stars. On the basis of this distribution it is shown that the seven ROSAT isolated neutron stars (if they are young cooling objects) are genetically related to the Gould Belt. We predict, that there are about few tens unidentified close-by young isolated neutron stars in the ROSAT All-Sky Survey. The possibility that these seven peculiar sources contain a neutron star less massive and more magnetized then in ordinary radiopulsars is also discussed. In the aftermath of relatively close recent supernova explosions (1 kpc around the Sun, a few Myrs ago), a few black holes might have been formed, according to the local initial mass function. We thus discuss the possibility of determining approximate positions of close-by isolated black holes using data on runaway stars and simple calculations of binary evolution and disruption.