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Are there houses in that section? If there are and they are numbered contiguously with those on the North side of Andrews Road, then that section is also Andrews Road and can safely be labelled as such. Councils don't always install signs where the close has the same name as the road it is in.

If they are separately numbered, you could try asking the Council -- they ought arrange for a sign to be installed, but should at least be able to tell you its name.