Well the prefix 'para' could mean 'for', or 'with', and the suffix 'sol' means 'sun' (both root words originating from Latin), so my guess is that it means 'for sun'.
French, from Italian parasole : parare, to shield (from Latin parāre, to prepare) + sole, sun (from Latin sōl)
A word that rhymes with parasol is "amoral."
Right after we kissed, she hit me with her parasol!
umbrellas
Spanish
"kasa"~ umbrella
The Parasol was created in 1777.
When You Are In The Sun A Parasol Is An Umbrella
Parasol Records was created in 1991.
Parasol Stars was created in 1991.
Parasol Stars happened in 1991.
Parasol Henbee happened in 1990.
Battalion Parasol was created in 1943.