Is it a native? 
Weeping Love-grass - native (Eragrostis parviflora)
	
   	
   	
   	
      	    
         
         
	
 
 
 
Native.  Annual or perennial. C4.
Family. Poaceae (Grass family).
Usually grows in damp areas e.g. near creeks or wetlands.
Identification
- an  erect grass
- the flower sprays become very open and diffuse
- the glumes are shorter than the lemmas
- the spikelets are very narrow, many-flowered, coloured dark grey-green,  and held close to the stems
- the spikelets appear to be pressed against the branches
- the lower flower branches are whorled (i.e. ringed, several growing from the one point)
- the lemmas are unawned 
- the leaves are folded or inrolled 
- the ligule is 0.3-0.6mm long and fringed.
It differs from African Love-grass in that the lower branches of the flower clusters of African Love-grass are not in whorls, and its spikelets are not pressed to the branch arms and the tussocks are much longer and denser.
eros: love;  agrostis: grass, referring to the delicate flower clusters of some species; parviflora:  has small flowers.
1,2,3: Weeping Love-grass. Harcourt.