Definitely. One would expect children in the list which they provided for as well as other persons to be named.
Let me start again with #1 -
Columns say:
Region or village where they reside - Schönbochen
Occupation or position in where living - Bauerstelle (farmer)
Names of household persons - a couple refers to man and wife - Joh. Joch. Spethmann
Children - none
Servants - one male; one female
Other persons living in household Joch. Spethmann with him.