Hi Cat, I don't know if this is the right Ramona Pico.
In May of 1876 DON FRANCISCO CAVALLERI married the Granddaughter of PIO PICO the first Govenor of Alta, California; her name is RAMONA PICO. They were married in the Santa Babara Mission Chapel, church record # 861. RAMONA PICO died in 1918 and is one of only a few to be buried in the Santa Barbara Mission Chapel Cemetery. There were no children from this marriage.
Cat, if this is the right person that you are looking for I do have her lineage. If you need it let me know, but you should be able to get her lineage on line.