Hi and welcome to JA. I am Ray and will be the expert helping you today.
Both the dad and the sister's husband had an interest in the property.You would need to open probate
for both your father to have the 1/3 interest conveyed to you for each.
Their shares passed under their will or if no will the laws of intestacy come into play.
It appears the spouse here inherited the husband's share under laws of intestacy.So if you got a quit claim from the mother this gives you title from husband and wife.You may need an affidavit of heirship
to show she was the sole heir
and thus a deed to you gives you 2/3 interest.
I would contact a local title company.They can verify that the deed you have here accounts for 2/3 of the property, they can do an affidavit of heirship showing that to file with the deed.
You likely need to open probate for dad here if you have not done so.
The title company can usually help with that.Once appointed personal representative they would prepare a fiduciary deed here from yourself as PR to yourself individually.
It looks like you are pretty close here assuming mother deeded you 2/3 interest with the quitclaim.You likely need an affidavit of heirship to validate her share to you and then probate to sign over dads share to you as sole heir.
Here are title companies that can help you complete this.
I appreciate the chance to help you today.Please let me know if you have more follow up.Thanks again.
Utah laws of intestacy referenced above.
Appears sister inherited husband's share so you got 2/3 from her.