Its extremely sad, but unfortunately not uncommon for children way back then to be badly burned and sometimes die from being too close and falling into fireplaces.
Don't know if you are aware but whereas the old printed indexes didn't give mother's maiden names for births prior to 1911 and ages at death prior to sometime in the 1860s the GRO site (free to register and search)
https://www.gro.gov.uk/gro/content/certificates/Login.asp#LoginFormnow provides that info - which is VERY useful to find these children both born and died too soon between census years.
It also gives you the option to purchase a pdf of the register entry (births up to 1920, deaths up to 1957) at £7 rather than a full cert at £11.
Please be aware that though this 'feels' right, it needs to be checked out carefully to be sure its the right family.
Given that there was no death registration with an age to match this burial in 1907 and the second was less than the usual timeframe before unrelated people were buried in the same grave, I worked on the assumption they were related in some way - this is the only possible I have been able to find but can't guarantee it without seeing original records.
We aren't allowed to post full info from the 1911 census, but can post a link to the transcripts on Family Search (if you don't have an account its simple and free to register and you will have to be signed in to see this)
This looks likely to be the family in 1911
https://www.familysearch.org/ark:/61903/1:1:XWMN-G78?If you have access to one of the main. genealogy sites you should be able to see the image by using that info. Depending on how many children they say they'd had and how many had died, if this little girl fits in with those numbers then its a plus point that the info I found is for the right family.
If you know which cemetery these burials are in, I'd suggest that you contact the North tyneside local history centre once the holidays are over and ask if they would have time to check the microfilm of the burial register to confirm the age of the Edith Johnson who was buried 27 March 1907. If, as I suspect, it says
5 then that would be another plus point for this being the right child, who was 'possibly' buried with her Granny.
There is an email address for them on this page:
https://my.northtyneside.gov.uk/category/1017/local-studies-and-informationBoo