Just looked at the genealogical tables in ROTK, and as far as I can make out (and I might be missing some glaringly obvious point) Drogo and Primula were not technically related directly to each other at all. Both were related to Bilbo, but that's a different matter - for example, if I'm descended from family lines A(mother's family) and B (Father's family) and my maternal cousin is descended from lines A and C(his father's family) HIS cousin (descended from lines C and D) has no blood relation to me even though we have an indirect connection.
On an unrelated note, I'd like to point out that a one-off first-cousin marriage is not a genetic problem in 99% of cases (the 1% being where the common family involved has Tay-Sachs or hemophilia or something like that in their bloodline). It was repeated first-cousin marriages of children who in turn are products of first-cousin marriages that usually did the mischief, and those were usually made only in royal families for the sake of alliances - the old church, in fact, officially condemned marriage between kin closer that *seventh* cousins (obviously a lot of dispensations were handed out). So even if Primula and Drogo were second cousins by blood, the risk to their offspring would have been very minor.
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Father, dear Father, if you see fit, We'll send my love to college for one year yet
Tie blue ribbons all about his head, To let the ladies know that he's married.
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