Thank you for the correction on the non-twins. Shows the pitfalls of jumping to conclusions, though I suppose 99% of the time when two children with the same not-too-common surname show up in the identical quarter, place and references, they would be twins. Since one died soon after, there's no way to check without looking at the originals.
I'm intrigued that the parents of Emma Bell Finney 1856 were named Robert Finney and Mary Iddon. The other child Alma Finney, now named "Alma Mary Corlett" married a Richard Iddon in 1874, though as you say she chose "Thomas Arthur Corlett" as her father rather than John Finney. The two "Iddons" here is interesting and suggests a connection. I suppose the two (presumably) related Finney couples walked to the register's office together to register their offspring, followed by a nice cup of tea to celebrate (as it was pre-Starbucks). It seems John Finney became history by the early 1860s and I suppose the Corlett gentleman entered their lives and became the person Alma considered her father. By 1871 Elizabeth considered herself a Kelly but that didn't last either. I bet they were all mariners, as Richard Iddon was a master mariner and so was Elizabeth's eldest son "J.J." Goldsmith.