Exhibit 32(b) CERTIFICATION OF CHIEF FINANCIAL OFFICER PURSUANT TO 18 U.S.C. SECTION 1350 In connection with the Form 10-QSB of James Monroe Bancorp, Inc. for the quarter ended June 30, 2004, I, Richard I. Linhart, Executive Vice President and Chief Operating Officer and Chief Financial Officer of James Monroe Bancorp, Inc., hereby certify pursuant to 18 U.S.C. ss.1350, as adopted pursuant to ss.906 of the Sarbanes-Oxley Act of 2002, to the best of my knowledge and belief, that: (1) such Form 10-QSB for the quarter ended June 30, 2004, fully complies with the requirements of section 13(a) or 15(d) of the Securities Act of 1934; and (2) the information contained in such Form 10-QSB for the quarter ended June 30, 2004, fairly presents, in all material respects, the financial condition and results of operations of James Monroe Bancorp, Inc. /s/ Richard I. Linhart - ---------------------- Richard I. Linhart Executive Vice President and Chief Financial Officer