If you go into the profile page of your match, it will say:
Your name and Matches name (at the top).
Then the next line will say
2nd cousin 1x removed | Paternal side (assuming you have set parent 1 and parent 2 to paternal/maternal)
Then under that it says
2% shared DNA (this is just so you know you are looking at the right page)
If you click on where it says 2nd cousin 1x removed you will get a pop up.
This will give you a slightly long list of predicted relationships - this is really what you should work from, rather than just the 2nd cousin 1x.
I've got someone who matches 141cM with DH for him it says:
Predicted relationships
We predict that these relationships are most likely. To predict relationships, we factor in self-reported ages and genders of both people.
- 2nd cousin 1x removed
- half 2nd cousin 1x removed
- 2nd cousin 2x removed
and then there is a tab that gives percentage likelihoods:
For DHs match it comes back as saying:
Relationship
45%
2nd cousin 1x removed
half 1st cousin 2x removed
1st cousin 3x removed
half 2nd cousin
23%
half 2nd cousin 1x removed
2nd cousin 2x removed
half 1st cousin 3x removed
3rd cousin
18%
half 1st cousin 1x removed
1st cousin 2x removed
half great-granduncle
2nd cousin
half great-grandnephew
8%
3rd cousin 1x removed
half 2nd cousin 2x removed
2nd cousin 3x removed
half 3rd cousin
4%
half 3rd cousin 1x removed
3rd cousin 2x removed
half 2nd cousin 3x removed
4th cousin
You will need to look at your match as the prediction is likely to be slightly different to this. This is an example only.
My point here is that the 2nd cousin 1x could be misleading. And its going to be difficult to pin down who your father is, with just one close match in this scenario. You ideally are going to need two or three matches from the information you have unfortunately.
To temper your hopes at this point; The common ancestors of the above match and DH were born in the 1840s. They had 12 children and then they had a lot of children. You could easily be looking at 60 - 120 current decendants for the generation you want.
You CAN narrow down the possibilities, but I do think you are going to have to be patient on this and wait for that additional ancestry match.
In the meantime try and work out as many descendants as you can from your matches great grandparent as it will help when you do hopefully get another close match.
Good luck.