Jack C. Besaw 13 appears in the 1930 Akron census as the son of Herman E. 51 and Catherine 44. Also listed are Gerald M. 20.
The 1920 census shows much the same except the family includes daughter Loren 11.
The 1910 census is really interesting because the family includes Herman's parents George 78 and Matilda 71 as well as his widowed mother-in-law Katherine Geist 60. George and Matilda were born in Canada (immigrated in 1880) and Katherine in Germany (immigrated in 1881).
The 1900 census shows Herman was born Jan 1878, George in March 1831 and Matilda in May 1835. They can be found in the 1880 census under the spelling of Besaras. The family is in the Ontario, Canada censuses of 1871 and 1861 under the names Basew and Besow respectively.
A 1905 Ohio marriage record shows Herman Besaw and Katie Geist tying the knot in Akron. His parents were George Besaw and Matilda Gilbert. Hers were John Geist and Catherine Wetzstine.
Herman's WWI and WWII draft cards show he was born Jan 18, 1878. His middle name was either Edwin or Edward (sometimes these names were used interchangeably).
The Ohio death record for Matilda Gilbert Besaw shows she died in 1920 and was the daughter of Samuel Gilbert and Minerva Stevens.
Not done yet. The 1900 census also of Akron shows a Katharine Geist, born Oct 1885, as the daughter of John, born Jan 1847 in Germany, and Catharine, born Feb 1850 also in Germany. They immigrated in 1881. Ohio deaths show a John Geist who died in 1909 who may have been the same John.
When the S.S. Rhein landed in New York on June 4, 1881 onboard were John and Catharine Geist. Coincidentally, also onboard was the family of Henrich and Elizabeth Wetstein who were old enough to be the elder Catharine's parents, but may have only been relatives.
With a bit more searching you can probably find more.
Some of these records you can look at for free at beta.familysearch.org and Ancestry.com. For those you cannot see for free I suggest checking with your local libraries to see if they have Ancestry or Heritage Quest.
To make sure of the connections I suggest getting your father's birth certificate and marriage record.