Tag, no tag, throw to first

[FUBLUE]

Here's one from my game saturday.

R1 at 1B, no outs. Slow ground ball hit between F3 and F4, F4 fields it. F4 attempts to tag R1, but misses, then throws to first. BU calls "no tag, safe" then "out" to the throw at first base (all within a second of each other).

R1 rounds second then starts to trot off the field. Coach yells to go back. Fortunately no one was smart enough to tag R1 but if they had been, what would you have done? Call her out, or put her back on second because she though you said she was out?