This free pattern originally published by Clark's O.N.T. in Old and New Favorites Doilies Book, Number 217, in 1944.

Doily measures 11 inches in diameter.
Materials:
J. & P. Coats Tatting Cotton, Size 70, 4 balls of White or any color.
Steel Crochet Hook No. 13.
Doily measures about 11 inches in diameter.
Starting at center, ch 10, join with sl st.
1st rnd: 16 sc in ring, sl st in 1st sc made.
2nd rnd: Sc in same place as sl st, * ch 5, skip 1 sc, sc in next sc. Repeat from * around, ending with ch 5.
3rd rnd: * Sc in next sc, 2 sc in ch-5 sp, ch 5. Repeat from * around.
4th to 17th rnds incl: * Skip 1st sc, sc in each remaining sc of sc group, 2 sc in ch-5 sp, ch 5. Repeat from * around; on 17th rnd end with the 17 sc of last group.
18th rnd: Ch 5, * skip 1 sc, sc in next 15 sc, ch 5, sc in ch-5 sp, ch 5. Repeat from * around.
19th rnd: * Skip 1 sc, sc in next 13 sc; (ch 5, sc in next loop) twice; ch 5. Repeat from * around. Continue in this manner, having 2 sc less in each sc group and 1 loop more between sc groups on each rnd, until 1 sc remains in each sc group, and ending with ch 5, sc in loop preceding 1st sc.
Now work as follows: 26th to 30th rnds incl: * Ch 6, sc in next loop. Repeat from * around (72 loops).
31st rnd: Make ch-6 loops across to within loop directly above last sc of point, * ch 6, 9 dc in next loop; ch 6, sc in next loop. Make 7 more ch-6 loops. Repeat from * around (1 group of 9 dc directly above each point).
32nd rnd: * Make ch-6 loops to within next dc group, ch 6, skip 4 dc of group, sc in next dc, ch 6, sc in next loop. Repeat from * around.
33rd and 34th rnds: Ch-6 loops around, ending with sc.
35th rnds: Ch 5, * 2 half dc in next loop, ch 3. Repeat from * around, ending with ch 3, half dc in last sc, sl st in 2nd ch of ch-5 (80 ch-3 sps).
36th rnd: Ch 2, * 2 half dc in sp, half dc in next 2 half dc. Repeat from * around, ending with sl st in 2nd ch of ch-2 (320 half dc).
37th rnd: Ch 1, * sc in next 17 half dc, ch 4, skip 4 half dc, in next half dc make 2 dc, ch 2 and 2 dc (shell); ch 4, skip 4 half dc. Repeat from * around, but skip 5 half dc (instead of 4) before and after any 4 shells in rnd (12 groups of 17 sc, with a shell between each group). Join with sl st in 1st sc. Hereafter pick up only the back loop of each sc throughout.
38th rnd: * Make sc in next 15 sc, ch 4, in ch-2 of shell make (2 dc, ch 2) 3 times and 2 dc. Ch 4, skip 1 sc. Repeat from * around; join.
39th rnd: * Sc in next 13 sc, ch 4, in next ch-2 sp make a shell of 2 dc, ch 2 and 2 dc; ( ch 3, shell in next ch-2 sp) twice, ch 4, skip 1 sc. Repeat from * around; join.
40th rnd: * Sc in next 11 sc, ch 4, shell over next shell, ch 3; in next shell make (2 dc, ch 2) 3 times and 2 dc. Ch 3, shell over next shell, ch 4, skip 1 sc. Repeat from * around; join.
41st rnd: * Sc in next 9 sc, ch 5, shell over next shell, ch 3; (shell in next ch-2 sp, ch 2) twice; shell in next ch-2 sp, ch 3, shell over next shell, ch 5, skip 1 sc. Repeat from * around; join.
42nd rnd: * Sc in next 7 sc, ch 5, shell over next shell, ch 3, shell over next shell, ch 3. In ch-2 of next shell make (2 dc, ch 2) 3 times and 2 dc; (ch 3, shell over next shell) twice, ch 5, skip 1 sc. Repeat from * around; join.
43rd rnd: * Sc in next 5 sc, ch 5, shell over next shell, ch 4, shell over shell; ( ch 3, shell in next ch-2 sp) 3 times; ch 3, shell over next shell, ch 4, shell over next shell, ch 5, skip 1 sc. Repeat from * around; join.
44th rnd: * Sc in next 3 sc, ch 5, shell over next shell, ch 4; (shell over next shell, ch 3) twice; in next ch-2 sp make (2 dc, ch 2) 3 times and 2 dc; (ch 3, shell over next shell) twice; ch 4, shell over next shell, ch 5, skip 1 sc. Repeat from * around; join.
45th rnd: * Sc in next sc, ch 5, (shell over next shell, ch 4) 3 times; ( shell in next ch-2 sp, ch 3) twice; shell in next ch-2 sp; ( ch 4, shell over next shell) 3 times; ch 5, skip 1 sc. Repeat from * around; join.
46th rnd: Sl st to ch-2 sp of first shell, ch 8, sl st in 4th ch from hook (a ch-4 picot made), ch 1, dc in same sp as last sl st was made, * ch 2, sc in next sp between shells, ch 2, in sp of next shell make dc, ch 1, p, ch 1 and dc. Repeat from * across one point, ending with a dc, ch 1, p, ch 1 and dc in the last shell of point, skip the ch-5, the sc and the next ch-5, dc in sp of next shell, ch 1, p, ch 1, dc in same sp as last dc and continue thus around. Join last dc with sl st to 3rd st of ch-8. Break off. Starch lightly and press.
Other great patterns from Old and New Favorites Doilies, Book 217:
Number 7123 Doily
Number 7131 Bread Tray Doily
Number 7132 Doily
Number 7272 Doily
Number 7274 Doily
Number 7318 Doily
Number 7444 Doilies
Number 7708 Place Mats/Runner
Number 7709 Place Mats/Runner/Napkins
Number 7710 Runner
Number 7711 Tray Mat
Number 7712 Place Mats/Runner
Number 7713 Place Mats/Runner
Number 7714 Doily
Number 7715 Doily Mats
Number 7716 Doily Covers
Number 7717 Runner
Number 7718 Place Mats/Runner