All the following are from IGI. I have only verified Daniel Edwin Allen as he was one I was interested in.
The following were the children of Thomas Allen and Susanna Lane (married 4 Jul 1813, St Thomas’). All entries are from batch C041797 or C041796
Thomas William Allen, born 4 Apr 1814, bapt 19 Oct 1814, St Phillip’s
Joseph James Allen, born 5 Mar 1816, bapt 10 Jun 1816, St Phillip’s
Charles Henry Allen, born 5 Mar 1816, bapt 10 Jun 1816, St Phillip’s
Daniel Edwin Allen, born 13 Jan 1819, bapt 8 Feb 1819, St Phillip’s
Ann Jemima Allen, born 29 Dec 1820, bapt 30 Jul 1822, St Phillip’s
Mary Susanna Allen, born 12 Apr 1823, bapt 28 Jul 1823, St Phillip’s
The following were children of James (Smart) Allen and Mary Ann Hands(married 13 Nov 1814, St Martin's). All are from batch C010723
Charles Allen, born 26 Nov 1815, bapt 7 Jun 1816, St Martin’s
Phebe Allen, born12 Apr 1815, bapt 26 Dec 1818, St Martin’s
Mary Elizabeth Allen, born 2 Jun 1823, bapt 6 Jan 1824, St Martin’s
The six year gap between 1818 and 1824 is surprising. I would have expected at least one more child in there, but without going through the registers, this is the best I can do.
Hope that this is useful to you