As he wished to matriculate at the University of London, he found it necessary to do more work in classics and spent a year at St Peter's College, Adelaide for this purpose.
[citation needed] Verco was appointed house physician at St Bartholomew's Hospital in 1876, and midwifery assistant in 1877.
After a few years of general practice at Adelaide, Verco became recognized as its leading physician, and led a very busy life.
He did not do much writing on medical subjects, but with E. C. Stirling wrote the article on hydatid disease in Allbutt's System of Medicine.
"This not only collated the early literature, but was illuminated by the authors' personal experience of cases and at the time was recognized as a classic presentation of the subject".
He collaborated with Charles Hedley and Professor William A. Haswell in investigating South Australia's continental shelf.
This collection, including the books, was eventually presented to the South Australian Museum, where Verco spent much time after his retirement as honorary conchologist.
He started its research and endowment fund with the sum of £1,000 in 1908, and on several other occasions gave financial aid when it was required.