I have just checked the census again and birth index for 1911.The maiden names only appears from the 4Th quarter in 1911 and I believe the registration district for Margate is Thanet ,they are several Hammond's born but can trace many of them to families apart from 3.
The baby was probably adopted quickly and renamed so not alot of hope there,also another question did the babies get registered by the mothers if they were too be adopted ?. I looked on the census for the home and there was a girl Mary Faultless but only 9 Faultless born that year and none in Kent which makes me think maybe they didn't register the children to the birth mothers ?
Your right Daisy may have died and that's why he named another child Daisy,the frustrating thing is I don't think I will ever find out.
I would love to be able to read any records from this home,I might tomorrow ring margate record office to see if they hold any records not holding my breath but worth a try