Do you have the marriage between Andrew Anderson and Mary Taylor? You may find additional information if the marriage occurred in the bride's parish betweeen 1798 and 1812.
Also search for other children born to the couple in the same time frame.
There are some original images available on Familysearch for many parishes within certain time frames, so worth checking there.
Added: A brother, Joseph Taylor Anderson was baptised on the same day as Ralph.
Can't find it.
There is one in Sunderland 1793 between Andrew Anderson and MARGARET Taylor.
But the wife should be called Mary. Also, this marriage is Anglican. On the baptism record of Ralph the religion is Presbyterian (Scotch).
They had a son called Peter Anderson (1799-1800)
Then Ralph Taylor Anderson and Joseph Taylor Anderson (1815)
But finding the records for all of this is proving difficult.