Well, Idas mother, Johanna Larsdotter, left at the same time as Ida and her children did but was not listed as "family". Emiweb said she travelled alone, was 68 years old and unmarried.
Also searched Emiweb for everyone leaving Grönahög parish and there is no Ingrid at all among the results.
@ Dana, I won't be doing any more editing on Carl Eriks profile so you can start editing to fit your style.