Take the month you were born for the prefix and the date for the suffix.
Month:
January: Leopard
February: Jay
March: Dove
May: Lion
April: Holly
June: Gray
July: Sand
August: Bramble
September: Sorrel
October: Squirrel
November: Cotton
December: Ice
Date:
1: fur
2: pelt
3: feather
4: storm
5: song
6: breeze
7: cloud
8: wing
9: leaf
10: stripe
11: stream
12: claw
13: flight
14: mist
15: flame
16: tail
17: dream
18: star
19: blaze
20: pond
21: sky
22: lake
23: pine
24: call
25: fleet
26: snow
27: spot
28: thorn
29: foot
30: stone
31: heart
Please comment the name you get!