Hello Mr Ramsey,
I have taken a look, and I believe I have found Your grandfather.
According to Botilsäter?s birth records, Axel Birger Eug?n Andersson was born April 10, 1896 in Övergården, Botilsäters parish.
I have also taken a look at the husförhörslängd (household examination roll) for Botilsäter 1891-1895, and there, I was able to reconstruct Axel Birger Eug?ns family, living in Övergården, Botilsäter?s parish:
Farmer Anders Gustaf Larsson, born June 16, 1845 in Botilsäters parish. (According to Axel Birger Eug?n?s birth record, he was a carpenter).
Wife Anna Lisa Andersdotter, born April 8, 1853 in Södra Ny parish.
Their children:
Hulda Natalia, born May 23, 1879 in Södra Ny parish.
Ada Olivia, born Nov 24, 1881 in Botilsäter?s parish, like her younger siblings.
Anna Adelia, born Sep 27, 1883.
Karl Johan, born Aug 14, 1886.
Anders Vilgot, born Nov 29, 1889.
Erik Ivar Julius, born Jan 4, 1893.
Axel Birger Eug?n, born Apr 10, 1896.
Hopefully, this information could help You a little.