"She was desperate for more interaction with other children" - at 14 months?
Honestly, if you say so I'm not disbelieving you (not sarky) but this is genuinely very unusual. Children begin to accept, perhaps 'enjoy', parallel play around 2 (sidelong glances at child next to them at sandpit) but true interaction comes much later, and before that only interaction with an invested adult is really sought.
I worked in nurseries/preschool for years and there was a clearly observable pattern, Before 2.5/3, most children tolerate one another (after all, here is another annoying small being who wants the same toy you do, who might get the attention you're after). By 3 things begin to change so gradually another small being, the same age as you, will be able to offer you something, like helping you build a fort with bricks etc. By nearly four, many children (not all!) will run into nursery seeking the friend they were playing with yesterday, to continue the game, or invent a new one. Finally, another child has become an optimum companion rather than a tolerated one.
But at one, or just two, very unusual.