Hi folks, my first post, so if there is a problem with any of it : be gentle!

I have family papers that tell the story of Solomon HYMES. He was a Polish Jew who was apprenticed in Bath as an Umbrella Maker. Some time in the early 1800's he moved to Cork with his wife and son Jacob. There he had 4 more children - Solomon (or Saul), Joseph, Charlotte and Sarah. He was widowed and remarried in Cork in 1818 to Susan BURROWS and having 3 more children - Edward [my G-G-G-Grandfather], James and Eliza. Susan BURROWS died and Solomon remarried - a widow named Morse (or Moss) who had a daughter Sally(?) in her teens. Widowed a third time, Solomon emigrated to Australia on the Lady McNaugton in November 1836. I have found Solomon and his daughter Eliza arriving in Sydney.
A reference to St Finbar or St Fin Barre is made, being the cemetery in which Susan HYMES (Nee BURROWS) is buried.
I have found HYMES' in trade directories in about 1821 .. so I have a good feeling that the family narrative is close to true.
I have found Charlotte marrying Joseph BROUGHTON in 1827 in R.C. Diocese of Cork and Ross.
I would like to confirm (or correct) this family narrative and naturally flesh out the details of all the players.
What records can you suggest I pursue ? Are parish records indexed and available online?
Looking forward to your help.
Miles