They did use brigades, and have brigadiers, but annoyingly the orders of battle passed down seem to mainly just list the regiments in their divisional structure. However, Nafziger (list 809JSBH) has the following structure for the Spanish lst Army of the Right, October l809:
Vanguard: Brigadier O'Donnell
Batallon de granaderos del ejercito (32/592)
(converged grenadiers of the army)
2nd Regiment de Saboya (25/962)
Det/Santa Fee Infantry Regiment (3/l43)
Wimpffen (Swiss) Infantry Regiment (l3/3l9)
Division: Mariscal de campo Garcia y Loygorry
Brigade: Brigadier Iranzo
2nd Division of Provincial Grenadiers (28/7ll)
Soria Infantry Regiment (39/502)
Granaderos de Kayser (4/l58)
Brigade: Brigadier Conde de Pino-Hermoso
2nd Batallon de cazadores de Orihuela (l9/875)
4th Batallon de Marina (29/632)
Voluntarios de Tarragona (20/593)
lst Tercio de Tarragona (29/8l5)
Division: Mariscal de campo Garcia Conde
Brigade: Brigadier Porta
lst Division de granaderos provinciales (2l/7l3)
lst Batallon de Granada (l8/673)
l/,2/Fernando VII Infantry Regiment (28/585)
Zey (Swiss) Infantry Regiment (40/646)
Brigade: Brigadier Begines de los Rios
Almansa Infantry Regiment (27/902)
Almeria Infantry Regiment (57/l,324)
3rd Sapper Company (7/23l)
Division: Mariscal de campo Cuadrado
Brigade: Brigadier Wimpffen
lst Batallon de Iliberia (24/l58)
2nd Tercio de Lerida (25/7l9)
2nd Tercio de Tarragona (3l/798)
2nd Horse Artillery Company (2/30)
Cavalry:
Numancia Cavalry Regiment (l)(8/ll3)
l/,2/Olivencia Cavalry Regiment (l6/306)
Husares de Granada (l6/265)
(Gomez de Arteche Y Moro, La Guerra de la Independencia, Madrid,l883)
The order of battle for Alcaniz seems to use 'columns' instead of 'brigades', so that seems to be a possible alternative sub-divisional structure, or at least nomenclature, too.