Can you find this family?

[webwiz]

I have a relative Rose Elizabeth Colthup b 11.1.1869 in Thanet to Frederick Colthup and Annie (nee) Turner. Frederick remarried Margaret Kerr in 1874. Rose never married and became a schoolteacher. I have Rose in every census and her baptism and am happy that I have her life timeline OK. I mention her for elimination because there appears to be another woman of the same name and age who appears in a baptism:

Baptism Record For Rose Elizabeth Colthup
In the Parish of Aldershot
Name Rose Elizabeth Colthup
Relation Daughter
Father's Name John Colthup Mother's Name Emma Colthup
Date of Baptism 28th March 1871
Place of Event Aldershot, Hampshire
Event Baptism

And in a travel record:

Rose Colthup
New York Passenger Arrival Lists (Ellis Island), 1892-1924
Name: Rose Colthup
Event Type: Immigration
Event Date: 20 Aug 1910
Event Place: Ellis Island, New York City, New York, United States
Residence Place: Ramsgate, England
Gender: Female
Age: 41
Marital Status: Single
Nationality: England, English
Birth Year: 1869
Departure Port: Liverpool
Ship Name: Campania
Additional Person's Name: J Colthup Departure Contact Name Relationship: Father
Second Additional Person's Name: Jas H Colthup Arrival Contact Name Relationship:Brother
Page Number: 103
Affiliate Line Number: 0016

But otherwise I can find no trace of her. Can anyone find anything?

[Darksecretz]

Could John be a brother to Frederick?