I would seriously doubt that Beorn was descended from Beren. This is a rather indirect quote that I think would apply.
Quote:
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"I have been among [the Riders of Rohan]," answered Aragorn. "...They have long been friends of the people of Gondor, though they are not akin to them. It was in forgotten years long ago that Eorl the Young brought them out of the North, and their kinship is rather with the Bardings of Dale, and with the Beornings of the Wood...
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What this is saying is the Beornings (Beorn) are akin to the people of Rohan, who are not akin to Gondorians, and Gondorians are basically descended from Numenoreans. Beren's only great-grandchildren were Elros and Elrond, of whom Elrond became an Elf and Elros chose mortality and became the starter of the line of kings of Numenor. Another thing would be that the people of Rohan came out of the North "in forgotten years" which would be before any of the Numenoreans (Beren's "heirs"), with the possible exception of maybe Black Numenoreans (correct me if I'm wrong, I'm not very familiar with this time period), came permanently to ME.
I don't know if that made any sense whatsoever but simply put Beorn almost could not have been descended from Beren.