Why is the preposition "in" used twice in this sentence: In 1934, in February...?
This sentence is in the book pattern complete sentence is:
In 1934, in February, when the dust was still so thick in the Minnesota air that my parents couldn't always see from the house to the barn, their fifth child – a fourth daughter – was born. ― MY MOTHER NEVER WORKED, by Bonnie Smith-Yackel, page 2
Solution 1:
For the same reason I might say 'In my house, in the kitchen, there is an oven', or 'In my car in the glove compartment, there are some keys'.
I could avoid all that by saying 'In my kitchen at home there is an oven' or 'There are some keys in the glove compartment of my car'.
In the same way your author might have said: 'In February 1934, when the dust....'
Solution 2:
As mentioned, you could say "in February 1934". But it may be intentional to describe it that way--in 1934, in February.
The author may want to convey something more than the plain expression "in February 1934".