You've told us when Eva was born, but not where. Is Emma the one aged 11 in 1901 in Bracebridge (or had she married by then)?
OK, this was their marriage so we have something to start from-
Marriages Dec 1907
**DRURY Joseph Harry Lincoln 7a 1161 Scan available - click to view
**DUNCOM__ Emma Lincoln 7a 1161 Scan available - click to view
GADSBY Adah Lincoln 7a 1161 Scan available - click to view
THACKER Edmund Lincoln 7a 1161
The marriage cert will of course give his parents' names.
Could he have come from Sussex?
DRURY, Joseph Harry Christening
Gender: Male
Christening Date: 10 Jun 1883 Recorded in: Ripe, Sussex, England
Collection: BTs
Father: James DRURY
Mother: Emma
What was Joe's occupation - could this have been him (1901 census)?
Joseph Drury 18 Sussex Eastbourne East Sussex Eastbourne Railway Parcel Porter
Ripe is about 10 miles from Eastbourne.