Sometimes casualty lists were reported in the newspapers; sometimes unit commanders composed after action reports which contained lists of casualties by name and company. These are called narrative lists and are available on microfilm from the National Archives.
However, much of the fighting late in the war wasn't reported by smaller unit commanders and no lists of any kind were produced. However, it's possible that casualties are noted in compiled service records of the 61st Alabama.
The regiment would have been in the area from July 11-14, 1864, when General Early's command crossed the Potomac River and camped just outside the defenses of Washington D.C. There were casualties on both sides; even Abraham Lincoln had the uncomfortable experience of hearing Confederate musket balls strike nearby when he went out to observe the troops. The fighting near Washington took place northwest of the city, along the Seventh Street defenses.