His grandfather Moses Miall had moved from Hampshire to establish the Mansion House School, Islington, in 1822.
He then accepted an assistant mastership position at a school in Stamford Hill, London, run by George Todd.
Todd had graduated from University College London and with his encouragement Miall attended mathematics lectures by Augustus de Morgan.
The discovery of a fossil labyrinthodont Pholiderpeton scutigerum helped Miall's election into the Geological Society in 1875.
Miall gave up an offer for the chair of geology at Yorkshire College, preferring that it went to his friend Alexander Green.
[2] He also taught biology at Firth College, Sheffield between 1882 and 1884 and ensured that the position was taken over by his friend Alfred Denny .
He held to the naturalist's doctrine that you learn by direct observation and experiment, and not by listening to others [...] Miall was an ideal lecturer, clear, confident and methodical.Miall married Emily, sister of Robert Pearce, in 1870[1] and his wife, a linguist and writer, died in 1918.
[9] Stephen (1872-1947) studied at Yorkshire College and became a solicitor, Rowland (1879-1955) taught English in Zurich and later directed a scientific instruments company.
After the death of his wife he moved to Yorkshire and lived at the Ben Rhydding Hydro where he collaborated with classical scholars working on memoirs of the Leeds Philosophical and Literary Society.