Eunice Newton Foote described and explained the "Green House Gas Effect" in 1856, three years before Irishman John Tyndall who is widely credited with that research.

In 1901 The Century Company of New York published her seminal biology-research handbook The Sea-beach at Ebb Tide - A Guide to the Study of the Seaweeds and the Lower Animal Life Found between Tide-Marks.

American marine biologists Myrtle E. Johnson, Richard Knapp Allen, and Joel Hedgpeth, mention or comment on The Sea Beach at Ebb-Tide in their writings.

[11] Arnold was a member of the Torrey Botanical Club and of the American Association for the Advancement of Science, indicating that she viewed herself as a serious scientist.

[11] Although the identity of the person honored by the specific name of the Pacific leaping blenny (Alticus arnoldorum), is unclear, Anthony Curtiss who described that species is known to have read The Sea-Beach at Ebb-Tide and gave several other taxa a similar epithet, which is thought to be in commemoration of Augusta Foote Arnold.