Shireoaks is in the Worksop Registration District, according to thie Nottinghamshire gazeteer at GenUKI:
http://www.genuki.org.uk/big/eng/NTT/Gazetteer.htmlI think you can drive into the Catholic Cemetery, but in any case you can park along the other side of Rivelin Valley Road, next to the paddling pool.
I can't help you with a burial place for Fred and Florence. You could ask on the Nottinghamshire page on this site.
If you want to visit Ellen's grave in our cemetery (St Mary's) there is a small area for parking close to the gate which is in Nichols Road (access via Waller Road). I don't think the grave has a gravestone so you will need a plan which I can supply if you send me a private message with an email address. I will check the grave next time I am there, just to see if I'm right about a gravestone. This grave will be under trees and probably covered in ivy.
Finding a burial place for Austin may need a visit to Sheffield Archives. He is certainly not buried at Walkley (I double checked now we know the quarter). He could be buried at Wardsend where those children are buried. The published index only covers up to 1905. At the moment it is very difficult to find particular graves at Wardsend which is in a very dilapidated and overgrown state. I have it mind to work on improving the plans to make it easier but that will take time. There are published MIs for Wardsend which I checked but there are no BINIs in the index.
Beyond that the indexes for the municipal cemeteries will need searching. They are on microfilm in the Archives.
I will take a look for Florence but that will have to wait as it is long past bedtime!
Hugh