I think you are correct with the 1910 Census – I found a 1920 Census with ‘Annie’ and two daughters that fit this report. Interesting in both instance she lists her nationality at ‘German.’
Here they list the daughters as ‘step-daughter’ and it indicates they have been married only 7 years. That sort of contradicts the paperwork we found in the NYC Records. Also, it indicates she birthed 3 children so it would indicate they were her daughters and potentially from a previous marriage.
Thank you for your help.
BTW – I think the Annie Acker that I sent who died in 1921 will probably be a good find.