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