Kyle,
There is no way of knowing. Every one that we know of occupied a number of acres, usually with various tees allowing for, as an example, one site we know having three greens yet nine holes with pars ranging from 3 to 5.
Yet Tilly also wrote that "Lilliput Links are planned to occupy any space, and vary in size from the large putting green, on which four or five holes may be placed, to the more ambitious tracts of several acres." He also mentioned that the models made for them would "show every undulation and hazard..."