Hello. I do not know if the information I have will be helpful or create more confusion. I am the great-great-great granddaughter of a Jacob Boller and Elizabeth (maiden name unknown) Boller residing in Illinois as of an 1880 census report. Jacob and Elizabeth had 6 children as of this census, including Emma who is reported as 8 at the time (Jacob 62 and Elizabeth 41). All 6 of the children were born in Illinois and both Jacob and Elizabeth report being born in Hesse Darmstadt, Germany.
I have also located a ship record which states that on 18 September 1854 as ship named Mercury traveled from La Havre France to New York. On the ships list is Carl Boller age 59 at the time and his chidren, one being Jacob Boller age 36 (making his birth year abt 1818 which fits).
May I ask if you think we are speaking of the same people and if so....where did you get your information from? Emma Boller is my great-great grandmother and recently my cousin and I found a woman with an invitation to her wedding to Frank Herbert Deane, our great-great grandfather. We have yet to receive it and I am hoping both her parent's names are on it to confirm what we have or point out a mistake.