Hi Sabu,
On LDS this is the children of Archibald Kerr and Rachel Thomson, but some others have been here before because there are a lot of submitted records. Two of them are for births 23 days apart, so look at the results but be prepared not be 100% definite on submitted records.
Susanna Kerr b 23 Dec 1790 c 26 Dec 1790 Greenock (submitted)
James Kerr c 02 Dec 1792 Middle or New Parish, Greenock (Extracted)
Alexander Kerr c 13 Sep 1795 Greenock (Extracted)
Archibald Kerr b 20 May 1797 c 21 May 1797 West Parish Greenock (submitted)
Affleck Kerr c 03 Mar 1799 West or Old Parish Greenock (Extracted)
Alexander Kerr b 26 Mar 1799 West parish, Greenock (submitted) cannot be correct, 2 births 23 days apart
Rachel Kerr b 09 Feb 1801 c 12 Feb 1801 West Parish, Greenock (submitted)
So there is only Alexander used in family that could be parents name, although i would have expected it to be James. (1st male born named after Father's Father.)