Mgilmore:
I inadvertently deleted my comments to you and also a comment from another volunteer. (McCoy: If you see this response, can you add your comment? Sorry!).
In any event, Hawkins was not a common surname in Co. Westmeath. There were no Hawkins records in the 1854 Griffiths Valuation head of household listing for Co. Westmeath and only one person named Hawkins in the 1901 census for Co. Westmeath. I searched on the subscription site Roots Ireland and there were no Patrick Hawkins baptismal records in Co. Westmeath.
You may want to consider DNA testing. Possibly you may have matches on your Hawkins line.
Roger McDonnell