This is the family as I can see
Mary Theresa DoB Dec 11 1902 Bap Dec 13 1902 Sponsors: Thomas BREHONY & Honoria DONOHUE
Thomas Joseph DoB Mar 27 1904 Bap Apr 03 1904 Sponsors: James COSTELLO & Mary BURKE
Bridget Ellen DoB Nov 20 1905 Bap Nov 25 1905 Sponsors: Denis KENNEDY & Sarah HACKETT
Margaret Mary DoB Dec 01 1906 Bap Dec 08 1906 Sponsors: John BREHONY & Mary Jane BREHONY
Anne Maria DoB Jul 29 1908 Bap Aug 09 1908 Sponsors: Michael BREHONY & Mary COSTELLO
James DoB Oct 10 2010 Bap Oct 16 2010 Sponsors: Joseph CARR & Ann CARR
Laurence Alphonsius DoB Sep 30 1912 Bap Aug 20 2012 Sponsors: Thomas HOULAHAN & Margaret DWYER
Gertrude Matilda DoB Jun 28 2014 Bap Jul 05 2014 Sponsors: John KILLALEA & Matilda BREHONY
Agnes DoB Jan 13 1916 Bap Jan 23 1916 Sponsors: Thomas BURKE & Bridget HOULAHAN
Noting for the sponsors:
There are two sponsors named James and Mary COSTELLO at different times
There is also a Honoria DONOHUE for the first child
There is a person of this name living in Woodford married to a Stephen DONOHUE whose maiden name was COSTELLO
In 1901 she was aged 42
LINKShe could have been a relative to Margaret - her father's name was also Lawrence
She had at least two sisters
Judith mx2 Pat HYNES Feb 13 1872; and Michael FLYNN Nov 21 1886
Bridget/Ellen (depending on church or civil record) m Feb 06 1894
For some of the other sponsors-
The BREHONYs were neighbours on the 1901 & 1911 censuses are listed as sponsors
Their mother was a Jane GORDON so I don't immediately see a close connection
Joseph and Ann CARR (nee COYE m Nov 29 1888) were neighbours with no children
In 1901 Lawrence's niece was living with him named Mary HACKETT (b Jul 12 1884 Woodford)
She I believe was the daughter of Michael HACKETT and Sarah BURKE
Therefore the sponsor Sarah HACKETT was most likely Lawrence's sister