We present the results of the analysis of the data obtained by Heck et al. (2004; 2008) regarding the contents of He and Ne and the exposure age of chromite grains recovered from fossil meteorites (L-chondrites) found in marine limestone—mid-Ordovician sediments—in the Thorsberg and Gullhogen quarries of southern Sweden. It has been shown that the increase of the content of noble gases in the chromite grains (by 1–2 orders of magnitude) and their exposure age with a decreasing mass of the samples (by approximately an order of magnitude) can be caused by an increase of the portion of small grains and by their poor preservation in the samples of small mass. The revealed relationships, as well as the fact that practically all fossil meteorites were found in a small area (∼6000 m), can be explained by the following assumption: a meteorite shower, caused by a single meteorite, fell ∼470 Myr; this occurred less than 0.2 Myr after the catastrophic destruction of the L-chondrite parent body. The time of this fall corresponds to that of the formation of the oldest sedimentation stratum, containing the meteorite fragments, in the Thorsberg quarry. Meteorite fragments in the younger strata are most likely the result of the subsequent redeposition that occurred in a shallow sea, when the sediment mass was forming. In this case, to explain the distribution of fossil meteorites in the mid-Ordovician sediments in Sweden, there is no necessity to hypothesize that an intense flux of meteorites was falling onto the Earth over the course of ∼1–2 Myr about 470 million years ago. [ABSTRACT FROM AUTHOR]