Hi

I think Jo posted the link to the USHER marriage, to illustrate what levels of information you may find on a New Jersey marriage record - ie: for your RODGERS / ASHBROOK marriage (esp re parentage etc).
Not sure if you already have this but this looks like their return to the UK in 1897
SS PENNLAND , departed Philadelphia, Pennsylvania - Arrived Liverpool 10 Jun 1897Embarked Philadelphia:
Jams T RODGERS 23, Machinist, Foreign born
May RODGERS 22, wife, English born
The forenames are written as what looks like Jams and May - but the writing is such that it's pretty clear the writer is scooting over his 'e' and 'r' formations in such a way they are not obvious!
I would have to agree with your doubt about the birth cert for the male ROGERS child with the same DoB as your James. Below, this looks very much like the parents of that child.....the surname of the wife's mother LUNN is near to "LOWN" and the wife is stated as having had 2 of her chidren died before 1900, and possibly at least one of those before 1880.
1880: 6th Avenue - New York City, New York
Head: John E ROGERS, 30, White, male - US Weigher, b NY, Father b Conn, Mother b Virginia
Wife: Helen F ROGERS 30, white, female, b NY, parents b NY
Mother-in-Law: Charlotte LUNN 53, white, female, widow, b NY, parents b NY
1900: 340 Grand Avenue, New York City, New York
Head: John E ROGERS 50, US Weigher, b Apr 1850 Maryland, father b Conn, mother b Virginia
Married 28 years (from abt 1872) to:
Wife: Helen F ROGERS 43, b Oct 1856 NY, parents b NY, birthed 3 children - only 1 still living.
Dau: Lillian A ROGERS 15, b Jul 1884 NY, father b Maryland, mother b NY
Lodger: Albert P SOUTHWICK 45, wid, Author, b May 1855, b Mass, parents b Mass.
Cheers
AMBLY