Good find, I suspect this is the same fellow. Being a British emigrant, he had no strong allegiance to the South. Many of his kin, crossed over.

I did find him in the American CW Research Database, unfortunately, Footnote has not compiled Louisiana Federal Troops yet. However, his Federal
Compiled Service Records should prove his true identity.

........

Richard Balshaw

Enlisted as a Private
"I" Co. LA 1st Infantry USA
Regiment organized: New Orleans, LA on 7/30/62, mustered out: 7/12/65

...........

Louisiana
1st REGIMENT INFANTRY

Organized at New Orleans, La., July 30, 1862. Attached to Weitzel's Reserve Brigade,
Dept. of the Gulf, to January, 1863. Grover's Division, 19th Army Corps, Dept. of the
Gulf, January, 1863. 2nd Brigade, 1st Division, 19th Army Corps, to March, 1863. 1st
Brigade, 4th Division, 19th Army Corps, to August, 1863. 2nd Brigade, 4th Division,
19th Army Corps, to October, 1863. District of La Fourche to February, 1864. 2nd Brigade,
2nd Division, 19th Army Corps, to June, 1864. District of La Fourche, Dept. Gulf, to
August, 1864. 2nd Brigade, 2nd Division, 19th Army Corps, Dept. Gulf, to November, 1864.
District of La Fourche to July, 1865.

SERVICE-Duty in the Defences of New Orleans and District of La Fourche till January, 1863, and at Baton Rouge till March. Operations against Port Hudson March 7-27. Moved to
Donaldsonville March 26, thence to Brashear City. Operations in Western Louisiana
April 9-May 14. Teche Campaign April 11-20. Porter's and McWilliams' Plantations, Indian
Bend, April 13. Irish Bend April 14. Moved to Franklin April 15. Bayou Vermillion
April 17. Expedition to Breux Bridge and Opelousas April 17-21. Moved to New Iberia
April 25; to Washington May 6, thence to Brashear City May 11-27, and to Port Hudson
May 28. Siege of Port Hudson May 30-July 9. Surrender of Port Hudson July 9. Cox's
Plantation, near Donaldsonville, Bayou La Fourche, July 12-13. Duty at Donaldsonville
and in District of La Fourche till March, 1864. Red River Campaign March 25-May 22.
Monett's Bluff, Cane River Crossing, April 23. At Alexandria April 27-May 13.
Construction of dam at Alexandria April 30-May 10. Retreat to Morganza April 13-20.
Mansura May 16. At Morganza till June. Expedition to the Atchafalaya May 30-June 5.
Livonia May 31. In District of La Fourche till September. Ordered to Morganza September 2,
and duty there till February, 1865. At Donaldsonville and in the District of La Fourche
till July.

Mustered out July 12, 1865.

Frederick A. Dyer "A Compendium of the War of the Rebellion" vol. 3