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... although the Parish Register birth entries I've found for both children give mother's name as Mary Ann Johnson. Would the actual certificate give her maiden name?

Just for info:

I just looked at the fiches in Portsmouth RO and it seems like the possibilities are

Mary Ann Webb (baptised 24/12/1802) daughter of John and Mary
Mary Ann Farndell (baptised 17/7/1803) daughter of Arthur and Phoebe

and a few Marys - Rogers (ds. of William/Mary or William/Phoebe), Duke (Edward/Mary), Cox (James/Ann), and Coxe (Matthew/Mary).

familysearch.org gives the same results if you search on Warblington rather than Emsworth

Thanks for your help, much appreciated.

I've only been doing this a week, and have mainly been using other people's trees to fill in my own tree (public Jackson / Johnson on ancestry.com). I found those marriages, but I thought they might not be exhaustive, or perhaps the 'grandfather' was actually an uncle or a lover. I guess I'm hoping that someone from the Spanish woman's family is looking for info from her side.

Lilyan was my mother and never talked about her family except to hint to my sister about her name, and once she hinted to me that her grandfather was a Scottish bloke who had a liaison with a Spanish woman. The Lilyan Jackson you've dug out (for which many thanks) is too old - my mum was born in 1912, died 1985. People's memories play up, and Lilyan might have been very young or have been told the story by someone else, so 'Scottish' might mean just 'Northern' or something else. It's not a lot to go on, but I told my sister (who's 77 now, and very interested) I'd try to find her namesake, so that's what I'm doing. The tree on ancestry.com is just a by-product of the search   

The familysearch.org site doesn't work here. I get the search page, but when I press the button to do the search I either get a page of HTML (the example I gave) or two little wheels turning, which I've twice left for an hour to do its thing before giving up.

Long shot....

My sister, Dolores* (b. 1935) believes she was named after a Spanish woman, who she thinks was the wife of her, or her mother Lilyan Jackson's, clergyman grandfather. Most likely possibilities for him are

William George Jackson (1874-1939)
George Jackson (1848-1917)
Henry William King (1843-1890)
Charles Henry Herbert (1873-1918)
James Joseph Young (1851-1941)
Spelling of the wife might be Dolores or some variation with a Z (Delorez?)

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