Bykowski, Szopa - Help with conflicting genealogy research

Hello! Hopefully I've posted this in the right category.

I am looking for the ancestors of my great-great-grandfather, and I've found a conflict between the names of his parents that I'm not sure how to resolve. I'm hoping someone here can advise me.

Here is what I have in my tree. The names of Peter's and Anna's parents were taken from a United States immigration record, which I've either misplaced or didn't save, bad me.

Peter Bykowski: born July 2 1851 in Lubla, Poland, died May 23 1911. Married Anna Szopa. Immigrated with family in 1882, naturalized papers dated Jan 20 1906, from Stryzyow, Galicia.
Parents: Josephus Bykowski, Valentine
Anna Szopa: born March 17 1857 in Lubla, Poland, died Oct 22 1924 in Milwaukee, Wisconsin, USA.
Parents: Stanislaus Szopa, Agathatha
Children: Joseph, Agnes, Stanislaus, John Frank, Frank, Max, Mary, Vladislaus, Anton, Edmand/Edward, and Lucy.

I have found a distant relative, who has a different pair listed as Peter's and Anna's parents in their tree. It looks like some of their info came from census reports, but they have conflicting information to what I found and I haven't been able to contact them.

Peter Bykowski: born July 2 1851 in Lubia, Poland, died May 23 1918 in Milwaukee, Wisconsin, USA. Married Anna Szopa about 1876. Immigrated in 1882.
Parents: Hyacinth Byk, Josephine Knafrek/Knafe/Knaje
Anna Szopa: born March 17 1857 in Galicia, Poland, died Oct 22 1924 in Milwaukee, Wisconsin, USA. Immigrated in 1882, naturalized in 1896.
Parents: Stanislaus Szopa, Agatha Gieba
Children: Joseph Frank, Agnes, Joannes Frank, Frank, Mary, Anton, Edward, and Lucy

Are there any clues in this information that can tell me which is more reliable, or some other way to reconcile the differences? I've been working on my family tree for years, and have never seen nor heard of a Hyacinth until now.

I have found another piece of the puzzle. I've just located a family tree that was handwritten by my grandmother, Peter's granddaughter. This is the main source for Peter and Anna's parents, since I've got it in physical copy.

However, my grandmother seems to have gotten a little confused about which people went where on the tree, as it was an artistic, pre-printed image in the shape of a tree instead of a straight-forward organization. For example, she accidentally listed her brother as her father, so Anna and Peter are both listed one generation older than they really were, and Josephus and Valentine's gender placement is swapped. I was able to correct the confusion through other family members and Ancestry records.

Is this information in one of our family books any more or less reliable a source than what I posted above? This book was passed down directly from Grandma to my father to me. And if so, who the heck is Hyacinth Byk?

Hello,
Do you still need some help?
I will try to help ,my email basiabozek@mac.com
Take care
Barbara Pattern