Hi tgit_1 Welcome to RootsChat!

The age is a couple of years out from what you suggested, but the 1881 census has
Patrick FLANNERY 15 Blacksmith, Bombay India
in the Medway Union Workhouse at Chatham, Kent.
In the same Workhouse was
John FLANNERY 13 Scholar, Bombay India
At 7 St Mary's Terrace, Willesdon was
Julia FLANNERY 17 Dom Servant, India British Subject.
in household of Henry R GOODWIN
1891 census
159 Albion St, Grimsby
John FLANNERY (lodger) 22 Fisherman, India British Subject
There was also a FLANNERY family in Preston Lancs who had some kids born in India.
64 Peel Hall St, Preston
Celia FLANNERY (wid) 39 Dublin
Annie 19 Sewing Machinist, Malta?
Lina 16 Cotton Winder, India (East)
Theresa 13 India (East)
Kate 10 Ireland Tipperary
Agnes 7 Ireland Curragh (I think there was a barracks at Curragh)
and in hospital in Preston
William FLANNERY 11 School, India
Providing you register and login, you can order overseas birth certs online to hopefully get parents' names. Here is some info
https://www.gro.gov.uk/gro/content/certificates/faqs-overseas.asp