He was an author of works mainly about road, iron road and bridge constructions, cartography, topography and entomology. Author of Polish, French and German dictionary of architecture, building engineering and materials science terms. Author and publisher of Free City of Kraków maps from 1833, city map of Kraków from 1834 and health resorts map of Galicia and Bukowina. Żebrawski derived the chain curve formula and applied it to the bridge arc calculations. He published a paper on the main causes of train derailment and its present methods. He introduced his own method of maps and map graticule classification. He researched and described changes in fauna of butterflies in Kraków region. Żebrawski directed restorations of Dominicans Church in Kraków, altars of St. Mary's Basilica and Royal Graves of the Wawel Cathedral.
Żebrawski was also a translator. His notable translations to Polish language includes The Poems of Ossian originally written by James Macpherson and Diversarum Artium Schedula — Libri III by Theophilus Presbyter.
Żebrawski was born on 5 April 1800 in Wojnicz, West Galicia. In 1818 he graduated from Bartłomiej Nowodworski High School in Kraków. After that, he studied philosophy, nature, English philology, mathematics and astronomy at the Jagiellonian University in Kraków, and mining, building engineering and topography at the Szkoła Akademiczno-Górnicza in Kielce. In 1832 he graduated doctor of philosophy and liberal science at the Jagiellonian University. In the years of 1832–1834 he worked as a lecturer and then adjunct of the Natural History and Botanics Department at the Jagiellonian University. In 1837–1853 he worked as a land and water transport inspector of Kraków.