Grove is known only as the author of the very rare volume entitled 'The most famous and tragicall historie of Pelops and Hippodamia.
Whereunto are adioyned sundrie pleasant deuises, epigrams, songes, and sonnettes.
There follow many short pieces, chiefly dealing with a lover's joys and pains, and a few epigrams on moral subjects.
There are some jesting verses entitled 'A perfect tricke to kill little blacke flees in one's chamber.'
In 1638, Henry Gosson published a work by one Mathew Grove, entitled Witty Proverbs, Pithy Sentences, and wise similes collected out of the Golden volumes of divers learned and grave philosophers, London, 8vo.