I found a short note on his death but does not name his children but will send it in case you do not have it: also where did the children you know of live? maybe their obits would name the other children?
Milwaukee Daily News May 9, 1855, page 2
In Waukesha, on Tuesday the 8th inst., of congestion
on the brain, JACOB L. BEAN, aged 46
Mr. BEAN was a former resident of this city, and
was one of the most energetic and active business
men in Eastern Wisconsin. In his death the business
interests of this section of the State have met
with a heavy loss, and an unusually bright and
promising family have lost a kind husband and parent,
and a most intelligent adviser.