Edward Ruland's parents may be George and Alice Ruland.
The 1880 Census lists an Edward (age 1) living with parents, George and Alice, in Brooklyn.
Family History Library Film 1254845
NA Film Number T9-0845
Page Number 20D
(ED 76, Supervisor's District 2, Page 40)
Perhaps this is him?
Another way you may be able to find-out Edward Ruland and Anna Moore's parents would be to obtain their marriage certificate.
The 1910 Census for Brooklyn indicates that Edward and Anna had been married for 3 years. And they lived in Brooklyn in 1910. Perhaps they were in Brooklyn at the time of their marriage in 1906-1907 also? If so, the Municipal Archives should have a copy of their marriage certificate.
Here's the info for their 1910 Census listing:
Census Microfilm Records: New York, 1910
State: New York
Locale: 21-WD BROOKLYN
(ED 522, Supervisor's District 2, 21st Ward, Page 2A)
The website for the Municipal Archives is: http://www.nyc.gov/html/records/html/5bymail.html
. There you will find fee schedules and printable request forms.