I have an extensive list of noble families from Galicia, now Malopolska.
It's all handwritten about a 100 years ago, so I can't put it here, but I can check if the last name is on the list for free.
Most of these names have extensive nobility court files from years 1887-1855 that I have access to.
For Rychlinski there are nobility court files of the following:
Rychlinska Agnieszka de Wiszniewskie
Rychlinskie de Franciszka v. Korbecka
If you need more info just message me at: