Two tourists were removed from the premises at Machu Picchu world heritage site after stripping down for photos.
Local government said a short-circuit sparked the fire in the early morning hours of Saturday in the southern region of Arequipa.
The workers stumbled on 1,700 archaeological remains including mummies, textiles and ceramics.
The mummified adolescent was found in a "good state of conservation."
The "finely carved" bath averages some two-meters in depth, with independent pools and spillways and a central passage taking water into a drainage duct.
The earthquake struck at a depth of 66.4 km (41.3 miles) about 10 kilometers (6.2 miles) from the city of Balao in the province of Guayas.
The Wari empire existed in parts of Peru from 600 CE until 1050 CE, pre-dating the Inka.
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