Where are you applying? Each consulate has different requirements and I would not rely on the data received from the phone service. Many consulates require that you also search the local courts where your ancestor lived. For example, if your ancestor lived in Brooklyn, NY you would have to search Kings County Court in addition to USCIS and NARA. Census data is sometimes required but it is unreliable.
I was able to get a Certified copy of a 1905 NYS Census from the NYC Supreme Court records people since the family lived in NYC (I think it was $10, maybe a money order). If you have the information from the Census or a copy of the page, it will make it easier for them. Unfortunately, though my GGF and GGM are correctly listed as Aliens on this form, my GF's age is off. I hope this will not create any problems, though I do have all the other docs.
The age problem is definitely something I would think happens often. It's going to be a problem for me as well. The year is off and the day is off by only a few. Has anyone here had this issue and been OK with it?