The 1860 Census shows a William Helwig living with a Catherine Helwig (born around 1836) with an Amanda and an Eliza. Perhaps Elisa and Amanda (the two older sibliings mother is Catherine Helwig and the other five children (Mary 1861, William1863, Henry 1865, Annie 1867, Wilheminna 1869) mother is Annie (1833).
The 1870 and 1880 census shows William living with Anna (1833)