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A little update on the Fletcher boys, if you're still looking.
The Middlemore admission book shows that the two boys were taken into the care of Middlemore Homes on 14 April 1910. James birthday was listed as 10 March, and Albert Edward 10 or possibly 11May. Their guardian's address was shown as The Union, Stratford -on-Avon (i.e. the workhouse) Comments -' Mother dead. Father a drunkard in Stratford - on -Avon Union. Children much neglected and ill fed'.
 Apologies for the stark language!  It may be worth doing a search of local newspapers for spring 1910, there could well be an article about the family.

Looking at the Middlemore Admission book, Lyttleton Wood was admitted there on 28 September 1900. Birthday shown as July.
Guardian shown as Ephraim Wood
Comments somewhat distressing - will send by private message if you want the 'warts and all' version.

Further to Christine53's post about BHC records, I have an image showing the admission of George to Middlemore Emigration Home on 16 August 1904 (Sorry I don't have one showing the girls' admissions for that year) His birthday is shown as 11 March, and guardian as George Willis Keatley, so the right boy. Address 2 Burton's Yard, Wade Street.
Image for the comments is blurry, but it does say 'mother an immoral woman. Father gardener. Children under no control. To pay 1/6 per week for 3 years' 
Interesting that the parents were to pay for such an extended time - it implies that they had the cash to be able to afford that (Most didn't. Usually when a payment was to be made it was from the Guardians of the Union where the children came from, or by a sponsor of some description)
They sailed on Siberian on 20 June 1905.
If you want to see the settlement records of the two children, they are available at the archives in Birmingham Central Library. (staff extremely helpful)

edited to add: there is also an admission for Arthur Frederick Keatley on 17 October 1906. Birthday shown as 18 December. Father's address remains the same. comments easier to read - 'Mother deserted. Immoral woman. Father gardener. Child under no control.'  Interestingly there is an aside in the next column - 'Given up to father 14/01/07. Mentally weak'  So, Arthur stayed in England with his father....

Absolutely - we need to think about how different names might have sounded when spoken to the registrar or census enumerator