Could you email me again please and we can see if I have a problem. Your mail didn't end up in my SPAM folders as others had so all looks Ok at my end.
Now to you request.
I no longer have access to the School Registers but more than one way to sort it out.
All three children were students and lived IN the Cottage Homes. No parents I presume. I can see that the "D" & "T" could easily be heard incorrectly.
I have checked with FreeBMD for the birth registration of these children and the surname as you have noted is "LUTKIN'.
parents were alive and also in Fir Vale, lucius dad was in jail as he deserted the family and also refused to work in the workhouse. mother was Louisa (nee Wharburton)