Here's another perspective. Soil takes time to utilize the lime and applied this late in the year, isn't going to do much to sweeten your soil and that 1.9 tons is going to be mostly wasted.
From NC State University soil sample guide:
For best results, mix the lime into the top 6 to 8 inches of soil several months before planting. For no-till or established plantings where this is not possible, apply no more than 1 to 1.5 ton/acre (50 lb/1000 sq ft) at one time, even if the report recommends more. You can apply the rest in similar increments every six months until the full rate is applied. If MG is recommended and lime is needed, use dolomitric lime.
Of course, this is for NC plots. Talk to your extension agent and see what they recommend.
If you follow the guidelines above, you will only need 187.5 lbs of lime. 1/16 acre(.0625) x 1 1/2 tons of lime(3000lbs) = 187.5lbs. for the first application. I bet the extension service recommendation was for a full acre. Adjust for you size plot.