It turns out that you were correct. During the night the low center drifted back to the east and at 25/12Z it was back at the coastline at 21.0N 97.6W - or just about the exact location that it first went ashore at yesterday afternoon. Wind at Tampico continues out of the ENE at 12-15 knots. The area has now been tagged as Invest 99L with almost no chance of development since the center is still over land.

Added: At 18Z the center has drifted northwest and was over land at approximately 21.6N 98.3W.
ED