At one week

Littlest weighed in at 8 lb., 8 oz., during the midwife's followup visit yesterday evening---another weight that is a whole number of quarter pounds.  So that makes two weighings by the midwife, and two at the doctor's office---probably with different shifts of nurses each time---and every one of those weights is a multiple of four ounces.  (Again, I'm not faking these weights.  If I were inventing, I would make them look less suspicious.)

In ounces, the weighings go ${\displaystyle 7_{16}12,7_{16}8,8_{16}0,8_{16}8,}$ or ${\displaystyle 124,120,128,136}$.

width=300; height=200; xmin=(-0.05); xmax=3.05; ymin=(-2); ymax=150; yscl=16; axes(); marker = "none"; //plot(118 + 2*x + 6*abs(x-1)); marker = "dot"; stroke = "green"; markerfill = "green"; a=[]; a[0]=[0,124]; a[1]=[1,120]; a[2]=[2,128]; a[3]=[3,136]; path(a);

The preceding graph is a bit shonky, though, because the horizontal coordinate indicates which weighing, rather than time---and the times of the weighings are not so evenly spread---Thurs, Friday, Tuesday, Thursday.  So let's revise it, to reflect the days of the respective weighings.  The result is still imperfect, because birth early Thursday, the first doctor's office visit was late Friday afternoon, the second doctor's office visit was Tuesday morning, and the Thursday midwife's visit was in the evening.  I've also dropped the pretty connecting lines, because they don't correspond to anything measured.  Nonetheless, we get an improved sense of what has been measured and what we might reasonably guess from it :

width=300; height=200; xmin=(-0.1); xmax=7.1; ymin=(71); ymax=150; yscl=16; axes(); marker = "none"; //plot(118 + 2*x + 6*abs(x-1)); marker = "dot"; stroke = "none"; a=[]; a[0]=[0,124]; a[1]=[1,120]; a[2]=[5,128]; a[3]=[7,136]; path(a);