Agh ....
Surry/Surrey and Broxbornebury arrived Sydney one day apart as per Wiki (arriving 27 and 28 July 1814)
http://en.wikipedia.org/wiki/Surry_(ship)
Surry/Surrey carried male convicts, and Broxbornebury the females... came via Rio, under orders issued by Plymouth Courts in Feb 1814.
For Alice Muers to have been transported after receiving a death sentence, she would have needed to have received a form of pardon from the King.... this would in turn .... usually result in a life sentence, which could have then been remitted to 14 years, and then remitted down again to 7 years. There should be records of those transactions. I have similar story .... trial 1815 in Scotland, sentence of death with jury asking for mercy, pardon issued by George III's signature when at Bath, paperwork arrived back in Scotland day before sentence due to be carried out after having been transmitted back to the Prince Regent for his signature also.
Convict (a female) agreed to transportation for life. By July 1815 that had been remitted to 14 years, and when embarking at Deal (thinking about the methods of transport to get her there from Edinburgh), it was noted on her papers that the 14 years had been remitted further to seven years. That forebear arrived Sydney early 1817, and then married, had several children and was dead by Sept 1825.... It was a very hard/difficult life for females in those days. Without oral history and private family papers it would still be unlikely that I would have found the link between that convict and my own tree, despite online convict records even today.
Cheers, JM