Ahealthyday on Family Tree Circles

I have little info from my family bible. What I do have is that on 3/29/1869 James Mathews was born in Dundalk, Louth Co., Ireland. On 11/5/1888 he married Mary (no maiden name listed) in Haggardstown, Louth Co., Ireland. Mary was born 4/1/1869 in Dundalk, Louth Co., Ireland.

I also show a James Mathews born 5/29/1892 and dies in Liverpool England in 1900. I am guessing James jr? Died at 8 yrs old.

Mary died in Liverpool England in 1908.

James died in 1930 in San Francisco. I found him on the census in San Francisco in 1920 and 1930. His spouse then was listed as Margaret.

My great grandma was Margaret Josephine Mathews born 4/1/1915 in San Francisco. Her mother's maiden name was White. She died in San Mateo on 5/27/1988. I am trying to get some proof that James is/ isn't her father. I think he remarried after Mary died. I think he then married Margaret White (family bible had a reference to Margaret White but with no specifiecs nor reasons why) and had my great grandma in SF in 1915.... it kinda feels like a stretch but then kinda not.

I also have in there that Annie Mathews married William Loftus and I have a Loftus Family address (no date but really old) of 51 Salisbury Rd, Waventree, Liverpool England.