Wikipedia tells us "Birthday flowers are ascribed by tradition for those born on any given date in the year in Europe and the West. Not all are precisely flowers, however. They are listed below.
January
1 - oak geranium
2 - Rosa multiflora
3 - cactus
4 - aloe
5 - hydrangea
6 - ice plant
7 - Japanese rose
8 - laburnum
9 - lavendar
10 - a withered leaf
11 - lemon
12 - lemon blossom
13 - imperial lily
14 - hyssop
15 - marigold
16 - yarrow plant
17 - rosemary
18 - rue
19 - sage
20 - snowdrop
21 - southernwood
22 - mullein
23 - nightshade
24 - oak leaf
25 - motherwort
26 - orange blossom
27 - burning nettle
28 - narcissus
29 - liverwort
30 - mignonette
31 - periwinkle
February
1 - sweetpea
2 - yellow rose
3 - saffron
4 - pansy
5 - marsh mallow
6 - mistletoe
7 - linden
8 - pineapple flower
9 - leek
10 - Common hawthorn
11 - cypress
12 - dewplant
13 - clematis
14 - gillyflower
15 - conium
16 - moss
17 - pea
18 - ryegrass
19 - spruce
20 - yew
21 - veronica
22 - amaryllis
23 - tansy
24 - straw
25 - spearmint
26 - lady's delight
27 - bachelor's button
28 - calla lily
29 - grass
March
1 - heliotrope
2 - thorn
3 - red pink
4 - rose geranium
5 - holly
6 - dogbane
7 - hyacinth
8 - olive
9 - anemone
10 - kingcap
11 - blue violet
12 - maple
13 - ivy
14 - white violet
15 - walnut
16 - valerian
17 - sorrel
18 - shamrock
19 - snake's root
20 - lettuce
21 - pine
22 - maidenhair fern
23 - woodbine
24 - fern
25 - allspice
26 - pitch pine
27 - fir
28 - sweet briar
29 - elder
30 - hoarhound
31 - love-lies-bleeding
April
1 - columbine
2 - rush
3 - meadow saffron
4 - a single reed
5 - mouse-ear chickweed
6 - myrrh
7 - hop
8 - almond tree
9 - balsam
10 - barberry
11 - beech
12 - bindweed
13 - cinquefoil
14 - birch
15 - china aster
16 - crocus blossom
17 - daisy
18 - wild grape
19 - honey-flower
20 - withered rose
21 - wild honeysuckle
22 - yellow jasmine
23 - lady's slipper
24 - musk plant
25 - peach blossom
26 - bridal rose
27 - broken straw
28 - tulip
29 - yellow violet
30 - wormwood plant
31 - vernal grass
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References - 1. Merriam-Webster Dictionary,
September
1 - fumitory
2 - helenium
3 - hepatica
4 - hoya
5 - humble plant
6 - iris
7 - lily-of-the-valley
8 - madder
9 - monkshood
10 - tear drop
11 - cranberry
12 - jonquil
13 - love-in-a-snail
14 - acacia
15 - rose acacia
16 - Adonis
17 - boxwood
18 - buttercup
19 - cabbage
20 - China pink
21 - corn
22 - cowslip
23 - ivy sprig
24 - cress
25 - crocus
26 - dock
27 - dandelion
28 - gooseberry
29 - guelder rose
30 - blue bell
October
1 - horse chestnut
2 - juniper
3 - wheat
4 - Venus's looking glass
5 - turnip
6 - tuberose
7 - traveler's joy
8 - tamerisk
9 - swallow wort
10 - stock
11 - rudbeckia
12 - mundi rose
13 - red rose
14 - China rose (Chinese Hibiscus)
15 - raspberry
16 - split reed
17 - single reed
18 - rhododendron
19 - Austrian rose
20 - rose campion
21 - ranunculus
22 - red primrose
23 - polyanthus
24 - plane tree
25 - Indian pink
26 - larch
27 - peppermint
28 - osmunda
29 - oxeyedaisy
30 - parsley
31 - common nettle
November
1 - nasturtium
2 - mountain ash
3 - mugwort
4 - mushrooms
5 - mimosa
6 - mandrake
7 - marvel of Peru
8 - lupin
9 - lotus flower
10 - lotus
11 - lotus tree
12 - lichens
13 - field lily
14 - yellow lily
15 - laurestine
16 - mountain laurel
17 - laurel
18 - houstonia
19 - hornbeam tree
20 - honeysuckle
21 - hawkweed
22 - gourd
23 - fuchsia
24 - dark geranium
25 - nutmeg geranium
26 - silver leaf geranium
27 - gentian
28 - gorse
29 - goldylocks
30 - goldenrod
December
1 - scarlet geranium
2 - teasel
3 - French willow
4 - flower de luce
5 - fennel
6 - dragon plant
7 - diomosa
8 - althea
9 - creeper
10 - cornella
11 - cockle
12 - coreander
13 - citron
14 - cockscomb (Celosia)
15 - coreopsis
16 - rock rose
17 - chamomile
18 - Lebanon cedar
19 - carnation
20 - cardinal flower
21 - japonica
22 - petunia
23 - bear's breach
24 - chrysanthemum
25 - Christmas rose
26 - balm of Gilead
27 - ash tree
28 - arbor vitae
29 - amaranth
30 - ambrosia
31 - apple blossom