Manue,
Thanks very much for sharing your family's old dough recipe.
I have a special interest in old family recipes. It's great to preserve these bits of our culture as time passes.
I took a stab at trying to convert this recipe to baker's percentages in case anyone wants to try making it. As always, when converting from volume into weight, certain assumptions have to be made, and the final product may not end up exactly as you remember, but hopefully it will get us in the ballpark and allow for fine tuning the recipe. If anyone else has other ideas about how to do this conversion, I'd be very interested.
I used a website called: calculateme.com to come up with these assumptions:
4.75 cups of flour = 570 g (this is highly dependent on how the flour is "scooped")
1 cup of water = 236.59 g
2 Packets of Activated Dry Yeast = 14g
1 Tbsp of Regular salt = 18 g
3 Tbsp White Sugar = 37.5g
1 cup Whole Milk = 242 g (I think that the scalding process will evaporate some of this liquid)
2 Tbsp Butter = 28.38 g
I decided to consider making a "thick" rectangular pizza and soon realized that this amount of dough would make a very large pizza.
The size will be a "half sheet" sized pan since this 13" x 18" sized pan is quite common and could have been used by your grandmother to make her pizza.
In order to make the ingredients fit this size of pan, I came up with a thickness factor (TF) of 0.173
So the finished recipe comes out be:
Flour (100%): 578.9 g | 20.42 oz | 1.28 lbs
Water (40.3%): 233.3 g | 8.23 oz | 0.51 lbs
ADY (2.4%): 13.89 g | 0.49 oz | 0.03 lbs | 3.68 tsp | 1.23 tbsp
Salt (3.1%): 17.95 g | 0.63 oz | 0.04 lbs | 3.22 tsp | 1.07 tbsp
Sugar (6.25%): 36.18 g | 1.28 oz | 0.08 lbs | 9.08 tsp | 3.03 tbsp
Milk (fresh) (41.3%): 239.08 g | 8.43 oz | 0.53 lbs | 15.94 tbsp | 1 cups
Butter (4.9%): 28.37 g | 1 oz | 0.06 lbs | 6 tsp | 2 tbsp
Total (198.25%): 1147.66 g | 40.48 oz | 2.53 lbs | TF = 0.173
The weights of the ingredients come out pretty close to assumptive weights and the percentages of the ingredients are not unreasonable. With an effective hydration above 80%, it's definitely a wet dough and that is in keeping with your description.
For 2 14" thinner pizzas, the recipe would look something like this:
Flour (100%): 572.35 g | 20.19 oz | 1.26 lbs
Water (40.3%): 230.66 g | 8.14 oz | 0.51 lbs
ADY (2.4%): 13.74 g | 0.48 oz | 0.03 lbs | 3.63 tsp | 1.21 tbsp
Salt (3.1%): 17.74 g | 0.63 oz | 0.04 lbs | 3.18 tsp | 1.06 tbsp
Sugar (6.25%): 35.77 g | 1.26 oz | 0.08 lbs | 8.97 tsp | 2.99 tbsp
Milk (fresh) (41.3%): 236.38 g | 8.34 oz | 0.52 lbs | 15.76 tbsp | 0.98 cups
Butter (4.9%): 28.04 g | 0.99 oz | 0.06 lbs | 5.93 tsp | 1.98 tbsp
Total (198.25%): 1134.68 g | 40.02 oz | 2.5 lbs | TF = 0.13
Single Ball: 567.34 g | 20.01 oz | 1.25 lbs
I hope this helps others to give the recipe a try. I know I will.

-- Tim