Pallmer, the scion of a well-connected planter family, was described by (Sir) George Nugent in his sketch of Jamaican officials in 1806 as ‘shy, but rather of gentlemanly manners. Certainly weak and vain, but of some influence, as nephew to George Crawford Ricketts esq. who is a popular character.’
All Pallmer’s known votes in his first Parliament were with government, starting with the Duke of Cumberland’s establishment bill, 29 June 1815, and including the property tax, 18 Mar. 1816. He voted against Catholic relief, 21 May 1816. His inspiration for this vote was the Book of Revelations, chapter 17, v. 17. His last known vote was on 25 Feb. 1817. At the end of that session he vacated his seat. He was an admirer of Robert Peel II.
Pallmer chaired a planters’ meeting to petition Parliament in defence of their interests in 1818,
