Grimshaw was interested mainly botany and wrote numerous scientific papers, including "Flora of the Cave Hill". He was a founding member of both the Belfast Natural History Society and the Belfast Botanic Gardens. Part of his herbarium is now in the Ulster Museum.
- Nash, R. and Ross, H.C.G. The development of natural history in early 19th century Ireland in From Linnaeus to Darwin: commentaries on the history of biology and geology Society for the bibliography of Natural History 13:27-
- Foster, John Wilson; Helena C. G. Chesney, eds. (1997). Nature in Ireland: A Scientific and Cultural History. Dublin: Lilliput Press. ISBN 1-874675-29-5.
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