Unfortunately, the Parish Registers are not very helpful?
Ramsey wasn't a parish in it's own right back then?
The Chapelry of St Paul's was in the parish of Maughold - it was later called South Ramsey.
The Chapelry of St Olave's was in the parish of Lezayre - it was later called North Ramsey.
In both cases, there are microfiche copies available until 1883 - I think these are what is available on FamilySearch and Ancestry?
Later than that means looking at the actual Registers at the Manx Museum Library.
So, I browsed both St Paul's and St Olaves's.
I found Thomas Henry (1899), William Edward (1906) and Margaret Eleanor (1901) baptisms.
And a burial for William Edward, age 1, in 1906.
Needs a lot more searching, I think?
Nothing significant on the Maughold burial register, or the Lezayre burial register.
Except:
George Thomas Brew, buried 12 August 1903
William Edward Brew, aged 15 months, buried 20 June 1906
Robina Brew, of Bowring Road, age 5 months, buried 24 January 1913