Yes the name with its three variations is one of the least common. In England there are only 50 famuily units that all share the same common line. One section of the family moved from England to Ireland ( NI ) in the 17th century.
If you can trace back to your line moving from England you will almost certainly link to the main line going back to 1174 in my book.
Have you tested IGI incase there is anything that can help you in the right direction for Maria ?There were family relatives that moved to NI in 18th and 19th century too so you may find her father was born in England.
Most US family members are not decended from the Irish line and went to the US direct from England or via ther Caribbean.