I agree with Lauraine that Lena would be most unusual for the period. If the other childrens' names were also unusual, that could strengthen the argument, but they are all very typical for the era.
When faced with such a problem, it's best to compare the handwritten letters with other examples where the word is unambiguous. Unfortunately, on the small sample that Zeb posted there is no "n". There is an "m", for which the downward stroke is vertical, or actually has a reverse slope. That's why the "n" in "Lena" is not convincing to me.
If Zeb could have a look at other entries by the same enumerator and check for n's, that would help to establish whether what appears as an "n" in the child's name is or isn't.
Cheers
Tim
